Finding the Third Proportional to 2,406,548,093,422 and 3,640,773,646,055

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406,548,093,422 : 3,640,773,646,055 = 3,640,773,646,055 : x
2. Step 2: Convert to fraction form
   2,406,548,093,422/3,640,773,646,055 = 3,640,773,646,055/x
3. Step 3: Cross multiply
   2,406,548,093,422x = 3,640,773,646,055 × 3,640,773,646,055
4. Step 4: Simplify right side
   2,406,548,093,422x = 13,255,232,741,808,617,459,548,160
5. Step 5: Solve for x
   x = 13,255,232,741,808,617,459,548,160/2,406,548,093,422
6. Step 6: Final answer
   x = 5,507,985,806,741.26