Finding the Third Proportional to 9,298.50 and 14,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.50 : 14,165.25 = 14,165.25 : x
2. Step 2: Convert to fraction form
   9,298.50/14,165.25 = 14,165.25/x
3. Step 3: Cross multiply
   9,298.50x = 14,165.25 × 14,165.25
4. Step 4: Simplify right side
   9,298.50x = 200,654,307.56
5. Step 5: Solve for x
   x = 200,654,307.56/9,298.50
6. Step 6: Final answer
   x = 21,579.21