Finding the Third Proportional to 37,732.50 and 82,026

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732.50 : 82,026 = 82,026 : x
2. Step 2: Convert to fraction form
   37,732.50/82,026 = 82,026/x
3. Step 3: Cross multiply
   37,732.50x = 82,026 × 82,026
4. Step 4: Simplify right side
   37,732.50x = 6,728,264,676
5. Step 5: Solve for x
   x = 6,728,264,676/37,732.50
6. Step 6: Final answer
   x = 178,314.84