Finding the Third Proportional to 9,799.50 and 14,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,799.50 : 14,789.25 = 14,789.25 : x
2. Step 2: Convert to fraction form
   9,799.50/14,789.25 = 14,789.25/x
3. Step 3: Cross multiply
   9,799.50x = 14,789.25 × 14,789.25
4. Step 4: Simplify right side
   9,799.50x = 218,721,915.56
5. Step 5: Solve for x
   x = 218,721,915.56/9,799.50
6. Step 6: Final answer
   x = 22,319.70