Finding the Third Proportional to 7,641 and 10,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,641 : 10,609.50 = 10,609.50 : x
2. Step 2: Convert to fraction form
   7,641/10,609.50 = 10,609.50/x
3. Step 3: Cross multiply
   7,641x = 10,609.50 × 10,609.50
4. Step 4: Simplify right side
   7,641x = 112,561,490.25
5. Step 5: Solve for x
   x = 112,561,490.25/7,641
6. Step 6: Final answer
   x = 14,731.25