Finding the Third Proportional to 9,784.50 and 15,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.50 : 15,085.50 = 15,085.50 : x
2. Step 2: Convert to fraction form
   9,784.50/15,085.50 = 15,085.50/x
3. Step 3: Cross multiply
   9,784.50x = 15,085.50 × 15,085.50
4. Step 4: Simplify right side
   9,784.50x = 227,572,310.25
5. Step 5: Solve for x
   x = 227,572,310.25/9,784.50
6. Step 6: Final answer
   x = 23,258.45