Finding the Third Proportional to 6,962 and 10,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,962 : 10,663.50 = 10,663.50 : x
2. Step 2: Convert to fraction form
   6,962/10,663.50 = 10,663.50/x
3. Step 3: Cross multiply
   6,962x = 10,663.50 × 10,663.50
4. Step 4: Simplify right side
   6,962x = 113,710,232.25
5. Step 5: Solve for x
   x = 113,710,232.25/6,962
6. Step 6: Final answer
   x = 16,332.98