Finding the Third Proportional to 9,785.25 and 23,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.25 : 23,080.50 = 23,080.50 : x
2. Step 2: Convert to fraction form
   9,785.25/23,080.50 = 23,080.50/x
3. Step 3: Cross multiply
   9,785.25x = 23,080.50 × 23,080.50
4. Step 4: Simplify right side
   9,785.25x = 532,709,480.25
5. Step 5: Solve for x
   x = 532,709,480.25/9,785.25
6. Step 6: Final answer
   x = 54,440.05