Finding the Third Proportional to 32,510 and 51,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,510 : 51,011.50 = 51,011.50 : x
2. Step 2: Convert to fraction form
   32,510/51,011.50 = 51,011.50/x
3. Step 3: Cross multiply
   32,510x = 51,011.50 × 51,011.50
4. Step 4: Simplify right side
   32,510x = 2,602,173,132.25
5. Step 5: Solve for x
   x = 2,602,173,132.25/32,510
6. Step 6: Final answer
   x = 80,042.24