Finding the Third Proportional to 32,151 and 51,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,151 : 51,160.50 = 51,160.50 : x
2. Step 2: Convert to fraction form
   32,151/51,160.50 = 51,160.50/x
3. Step 3: Cross multiply
   32,151x = 51,160.50 × 51,160.50
4. Step 4: Simplify right side
   32,151x = 2,617,396,760.25
5. Step 5: Solve for x
   x = 2,617,396,760.25/32,151
6. Step 6: Final answer
   x = 81,409.50