Finding the Third Proportional to 6,411.50 and 10,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411.50 : 10,022.25 = 10,022.25 : x
2. Step 2: Convert to fraction form
   6,411.50/10,022.25 = 10,022.25/x
3. Step 3: Cross multiply
   6,411.50x = 10,022.25 × 10,022.25
4. Step 4: Simplify right side
   6,411.50x = 100,445,495.06
5. Step 5: Solve for x
   x = 100,445,495.06/6,411.50
6. Step 6: Final answer
   x = 15,666.46