Finding the Third Proportional to 37,063.50 and 82,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,063.50 : 82,414.50 = 82,414.50 : x
2. Step 2: Convert to fraction form
   37,063.50/82,414.50 = 82,414.50/x
3. Step 3: Cross multiply
   37,063.50x = 82,414.50 × 82,414.50
4. Step 4: Simplify right side
   37,063.50x = 6,792,149,810.25
5. Step 5: Solve for x
   x = 6,792,149,810.25/37,063.50
6. Step 6: Final answer
   x = 183,257.11