Finding the Third Proportional to 42,664 and 57,434

Step by Step Solution

1. Step 1: Write the proportion equation
   42,664 : 57,434 = 57,434 : x
2. Step 2: Convert to fraction form
   42,664/57,434 = 57,434/x
3. Step 3: Cross multiply
   42,664x = 57,434 × 57,434
4. Step 4: Simplify right side
   42,664x = 3,298,664,356
5. Step 5: Solve for x
   x = 3,298,664,356/42,664
6. Step 6: Final answer
   x = 77,317.28