Finding the Third Proportional to 37,715.63 and 81,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,715.63 : 81,202.50 = 81,202.50 : x
2. Step 2: Convert to fraction form
   37,715.63/81,202.50 = 81,202.50/x
3. Step 3: Cross multiply
   37,715.63x = 81,202.50 × 81,202.50
4. Step 4: Simplify right side
   37,715.63x = 6,593,846,006.25
5. Step 5: Solve for x
   x = 6,593,846,006.25/37,715.63
6. Step 6: Final answer
   x = 174,830.62