Finding the Third Proportional to 12,811.50 and 23,132.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,811.50 : 23,132.25 = 23,132.25 : x
2. Step 2: Convert to fraction form
   12,811.50/23,132.25 = 23,132.25/x
3. Step 3: Cross multiply
   12,811.50x = 23,132.25 × 23,132.25
4. Step 4: Simplify right side
   12,811.50x = 535,100,990.06
5. Step 5: Solve for x
   x = 535,100,990.06/12,811.50
6. Step 6: Final answer
   x = 41,767.24