Finding the Third Proportional to 9,630.50 and 14,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630.50 : 14,782.25 = 14,782.25 : x
2. Step 2: Convert to fraction form
   9,630.50/14,782.25 = 14,782.25/x
3. Step 3: Cross multiply
   9,630.50x = 14,782.25 × 14,782.25
4. Step 4: Simplify right side
   9,630.50x = 218,514,915.06
5. Step 5: Solve for x
   x = 218,514,915.06/9,630.50
6. Step 6: Final answer
   x = 22,689.88