Finding the Third Proportional to 65,377.50 and 100,542

Step by Step Solution

1. Step 1: Write the proportion equation
   65,377.50 : 100,542 = 100,542 : x
2. Step 2: Convert to fraction form
   65,377.50/100,542 = 100,542/x
3. Step 3: Cross multiply
   65,377.50x = 100,542 × 100,542
4. Step 4: Simplify right side
   65,377.50x = 10,108,693,764
5. Step 5: Solve for x
   x = 10,108,693,764/65,377.50
6. Step 6: Final answer
   x = 154,620.38