Finding the Third Proportional to 42,916 and 56,566

Step by Step Solution

1. Step 1: Write the proportion equation
   42,916 : 56,566 = 56,566 : x
2. Step 2: Convert to fraction form
   42,916/56,566 = 56,566/x
3. Step 3: Cross multiply
   42,916x = 56,566 × 56,566
4. Step 4: Simplify right side
   42,916x = 3,199,712,356
5. Step 5: Solve for x
   x = 3,199,712,356/42,916
6. Step 6: Final answer
   x = 74,557.56