Finding the Third Proportional to 9,766.50 and 15,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.50 : 15,146.25 = 15,146.25 : x
2. Step 2: Convert to fraction form
   9,766.50/15,146.25 = 15,146.25/x
3. Step 3: Cross multiply
   9,766.50x = 15,146.25 × 15,146.25
4. Step 4: Simplify right side
   9,766.50x = 229,408,889.06
5. Step 5: Solve for x
   x = 229,408,889.06/9,766.50
6. Step 6: Final answer
   x = 23,489.37