Finding the Third Proportional to 9,638.50 and 15,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.50 : 15,123.25 = 15,123.25 : x
2. Step 2: Convert to fraction form
   9,638.50/15,123.25 = 15,123.25/x
3. Step 3: Cross multiply
   9,638.50x = 15,123.25 × 15,123.25
4. Step 4: Simplify right side
   9,638.50x = 228,712,690.56
5. Step 5: Solve for x
   x = 228,712,690.56/9,638.50
6. Step 6: Final answer
   x = 23,729.08