Finding the Third Proportional to 27,824.25 and 42,656.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,824.25 : 42,656.63 = 42,656.63 : x
2. Step 2: Convert to fraction form
   27,824.25/42,656.63 = 42,656.63/x
3. Step 3: Cross multiply
   27,824.25x = 42,656.63 × 42,656.63
4. Step 4: Simplify right side
   27,824.25x = 1,819,587,656.39
5. Step 5: Solve for x
   x = 1,819,587,656.39/27,824.25
6. Step 6: Final answer
   x = 65,395.75