Finding the Third Proportional to 42,385 and 57,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,385 : 57,498.50 = 57,498.50 : x
2. Step 2: Convert to fraction form
   42,385/57,498.50 = 57,498.50/x
3. Step 3: Cross multiply
   42,385x = 57,498.50 × 57,498.50
4. Step 4: Simplify right side
   42,385x = 3,306,077,502.25
5. Step 5: Solve for x
   x = 3,306,077,502.25/42,385
6. Step 6: Final answer
   x = 78,001.12