Finding the Third Proportional to 9,747 and 23,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747 : 23,287.50 = 23,287.50 : x
2. Step 2: Convert to fraction form
   9,747/23,287.50 = 23,287.50/x
3. Step 3: Cross multiply
   9,747x = 23,287.50 × 23,287.50
4. Step 4: Simplify right side
   9,747x = 542,307,656.25
5. Step 5: Solve for x
   x = 542,307,656.25/9,747
6. Step 6: Final answer
   x = 55,638.42