Finding the Third Proportional to 42,732 and 57,138

Step by Step Solution

1. Step 1: Write the proportion equation
   42,732 : 57,138 = 57,138 : x
2. Step 2: Convert to fraction form
   42,732/57,138 = 57,138/x
3. Step 3: Cross multiply
   42,732x = 57,138 × 57,138
4. Step 4: Simplify right side
   42,732x = 3,264,751,044
5. Step 5: Solve for x
   x = 3,264,751,044/42,732
6. Step 6: Final answer
   x = 76,400.61