Finding the Third Proportional to 36,981.50 and 81,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,981.50 : 81,002.50 = 81,002.50 : x
2. Step 2: Convert to fraction form
   36,981.50/81,002.50 = 81,002.50/x
3. Step 3: Cross multiply
   36,981.50x = 81,002.50 × 81,002.50
4. Step 4: Simplify right side
   36,981.50x = 6,561,405,006.25
5. Step 5: Solve for x
   x = 6,561,405,006.25/36,981.50
6. Step 6: Final answer
   x = 177,423.98