Finding the Third Proportional to 10,626 and 23,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 23,299.50 = 23,299.50 : x
2. Step 2: Convert to fraction form
   10,626/23,299.50 = 23,299.50/x
3. Step 3: Cross multiply
   10,626x = 23,299.50 × 23,299.50
4. Step 4: Simplify right side
   10,626x = 542,866,700.25
5. Step 5: Solve for x
   x = 542,866,700.25/10,626
6. Step 6: Final answer
   x = 51,088.53