Finding the Third Proportional to 10,327.50 and 20,689.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,327.50 : 20,689.17 = 20,689.17 : x
2. Step 2: Convert to fraction form
   10,327.50/20,689.17 = 20,689.17/x
3. Step 3: Cross multiply
   10,327.50x = 20,689.17 × 20,689.17
4. Step 4: Simplify right side
   10,327.50x = 428,041,832.87
5. Step 5: Solve for x
   x = 428,041,832.87/10,327.50
6. Step 6: Final answer
   x = 41,446.80