Finding the Third Proportional to 37,904.20 and 82,532.67

Step by Step Solution

1. Step 1: Write the proportion equation
   37,904.20 : 82,532.67 = 82,532.67 : x
2. Step 2: Convert to fraction form
   37,904.20/82,532.67 = 82,532.67/x
3. Step 3: Cross multiply
   37,904.20x = 82,532.67 × 82,532.67
4. Step 4: Simplify right side
   37,904.20x = 6,811,641,926.83
5. Step 5: Solve for x
   x = 6,811,641,926.83/37,904.20
6. Step 6: Final answer
   x = 179,706.77