Finding the Third Proportional to 6,465 and 10,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465 : 10,291.50 = 10,291.50 : x
2. Step 2: Convert to fraction form
   6,465/10,291.50 = 10,291.50/x
3. Step 3: Cross multiply
   6,465x = 10,291.50 × 10,291.50
4. Step 4: Simplify right side
   6,465x = 105,914,972.25
5. Step 5: Solve for x
   x = 105,914,972.25/6,465
6. Step 6: Final answer
   x = 16,382.83