Finding the Third Proportional to 82,129.50 and 90,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,129.50 : 90,769.50 = 90,769.50 : x
2. Step 2: Convert to fraction form
   82,129.50/90,769.50 = 90,769.50/x
3. Step 3: Cross multiply
   82,129.50x = 90,769.50 × 90,769.50
4. Step 4: Simplify right side
   82,129.50x = 8,239,102,130.25
5. Step 5: Solve for x
   x = 8,239,102,130.25/82,129.50
6. Step 6: Final answer
   x = 100,318.43