Finding the Third Proportional to 9,781.50 and 15,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.50 : 15,154.50 = 15,154.50 : x
2. Step 2: Convert to fraction form
   9,781.50/15,154.50 = 15,154.50/x
3. Step 3: Cross multiply
   9,781.50x = 15,154.50 × 15,154.50
4. Step 4: Simplify right side
   9,781.50x = 229,658,870.25
5. Step 5: Solve for x
   x = 229,658,870.25/9,781.50
6. Step 6: Final answer
   x = 23,478.90