Finding the Third Proportional to 9,738 and 23,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 23,281.50 = 23,281.50 : x
2. Step 2: Convert to fraction form
   9,738/23,281.50 = 23,281.50/x
3. Step 3: Cross multiply
   9,738x = 23,281.50 × 23,281.50
4. Step 4: Simplify right side
   9,738x = 542,028,242.25
5. Step 5: Solve for x
   x = 542,028,242.25/9,738
6. Step 6: Final answer
   x = 55,661.15