Finding the Third Proportional to 34,672.50 and 81,821.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,672.50 : 81,821.25 = 81,821.25 : x
2. Step 2: Convert to fraction form
   34,672.50/81,821.25 = 81,821.25/x
3. Step 3: Cross multiply
   34,672.50x = 81,821.25 × 81,821.25
4. Step 4: Simplify right side
   34,672.50x = 6,694,716,951.56
5. Step 5: Solve for x
   x = 6,694,716,951.56/34,672.50
6. Step 6: Final answer
   x = 193,084.34