Finding the Third Proportional to 9,192 and 14,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,192 : 14,146.50 = 14,146.50 : x
2. Step 2: Convert to fraction form
   9,192/14,146.50 = 14,146.50/x
3. Step 3: Cross multiply
   9,192x = 14,146.50 × 14,146.50
4. Step 4: Simplify right side
   9,192x = 200,123,462.25
5. Step 5: Solve for x
   x = 200,123,462.25/9,192
6. Step 6: Final answer
   x = 21,771.48