Finding the Third Proportional to 9,786.75 and 23,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.75 : 23,098.50 = 23,098.50 : x
2. Step 2: Convert to fraction form
   9,786.75/23,098.50 = 23,098.50/x
3. Step 3: Cross multiply
   9,786.75x = 23,098.50 × 23,098.50
4. Step 4: Simplify right side
   9,786.75x = 533,540,702.25
5. Step 5: Solve for x
   x = 533,540,702.25/9,786.75
6. Step 6: Final answer
   x = 54,516.64