Finding the Third Proportional to 42,768 and 57,591

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 57,591 = 57,591 : x
2. Step 2: Convert to fraction form
   42,768/57,591 = 57,591/x
3. Step 3: Cross multiply
   42,768x = 57,591 × 57,591
4. Step 4: Simplify right side
   42,768x = 3,316,723,281
5. Step 5: Solve for x
   x = 3,316,723,281/42,768
6. Step 6: Final answer
   x = 77,551.52