Finding the Third Proportional to 37,500.79 and 82,006.80

Step by Step Solution

1. Step 1: Write the proportion equation
   37,500.79 : 82,006.80 = 82,006.80 : x
2. Step 2: Convert to fraction form
   37,500.79/82,006.80 = 82,006.80/x
3. Step 3: Cross multiply
   37,500.79x = 82,006.80 × 82,006.80
4. Step 4: Simplify right side
   37,500.79x = 6,725,116,015.05
5. Step 5: Solve for x
   x = 6,725,116,015.05/37,500.79
6. Step 6: Final answer
   x = 179,332.67