Finding the Third Proportional to 36,922.50 and 81,020.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,922.50 : 81,020.25 = 81,020.25 : x
2. Step 2: Convert to fraction form
   36,922.50/81,020.25 = 81,020.25/x
3. Step 3: Cross multiply
   36,922.50x = 81,020.25 × 81,020.25
4. Step 4: Simplify right side
   36,922.50x = 6,564,280,910.06
5. Step 5: Solve for x
   x = 6,564,280,910.06/36,922.50
6. Step 6: Final answer
   x = 177,785.39