Finding the Third Proportional to 42,146 and 56,555

Step by Step Solution

1. Step 1: Write the proportion equation
   42,146 : 56,555 = 56,555 : x
2. Step 2: Convert to fraction form
   42,146/56,555 = 56,555/x
3. Step 3: Cross multiply
   42,146x = 56,555 × 56,555
4. Step 4: Simplify right side
   42,146x = 3,198,468,025
5. Step 5: Solve for x
   x = 3,198,468,025/42,146
6. Step 6: Final answer
   x = 75,890.19