Finding the Third Proportional to 9,758 and 23,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758 : 23,024.50 = 23,024.50 : x
2. Step 2: Convert to fraction form
   9,758/23,024.50 = 23,024.50/x
3. Step 3: Cross multiply
   9,758x = 23,024.50 × 23,024.50
4. Step 4: Simplify right side
   9,758x = 530,127,600.25
5. Step 5: Solve for x
   x = 530,127,600.25/9,758
6. Step 6: Final answer
   x = 54,327.49