Finding the Third Proportional to 9,645 and 14,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645 : 14,086.50 = 14,086.50 : x
2. Step 2: Convert to fraction form
   9,645/14,086.50 = 14,086.50/x
3. Step 3: Cross multiply
   9,645x = 14,086.50 × 14,086.50
4. Step 4: Simplify right side
   9,645x = 198,429,482.25
5. Step 5: Solve for x
   x = 198,429,482.25/9,645
6. Step 6: Final answer
   x = 20,573.30