Finding the Third Proportional to 42,738 and 56,727

Step by Step Solution

1. Step 1: Write the proportion equation
   42,738 : 56,727 = 56,727 : x
2. Step 2: Convert to fraction form
   42,738/56,727 = 56,727/x
3. Step 3: Cross multiply
   42,738x = 56,727 × 56,727
4. Step 4: Simplify right side
   42,738x = 3,217,952,529
5. Step 5: Solve for x
   x = 3,217,952,529/42,738
6. Step 6: Final answer
   x = 75,294.88