Finding the Third Proportional to 14,670 and 22,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,670 : 22,006.50 = 22,006.50 : x
2. Step 2: Convert to fraction form
   14,670/22,006.50 = 22,006.50/x
3. Step 3: Cross multiply
   14,670x = 22,006.50 × 22,006.50
4. Step 4: Simplify right side
   14,670x = 484,286,042.25
5. Step 5: Solve for x
   x = 484,286,042.25/14,670
6. Step 6: Final answer
   x = 33,012.00