Finding the Third Proportional to 37,542 and 81,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,542 : 81,616.50 = 81,616.50 : x
2. Step 2: Convert to fraction form
   37,542/81,616.50 = 81,616.50/x
3. Step 3: Cross multiply
   37,542x = 81,616.50 × 81,616.50
4. Step 4: Simplify right side
   37,542x = 6,661,253,072.25
5. Step 5: Solve for x
   x = 6,661,253,072.25/37,542
6. Step 6: Final answer
   x = 177,434.69