Finding the Third Proportional to 37,422 and 86,643

Step by Step Solution

1. Step 1: Write the proportion equation
   37,422 : 86,643 = 86,643 : x
2. Step 2: Convert to fraction form
   37,422/86,643 = 86,643/x
3. Step 3: Cross multiply
   37,422x = 86,643 × 86,643
4. Step 4: Simplify right side
   37,422x = 7,507,009,449
5. Step 5: Solve for x
   x = 7,507,009,449/37,422
6. Step 6: Final answer
   x = 200,604.18