Finding the Third Proportional to 37,802.50 and 82,523

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802.50 : 82,523 = 82,523 : x
2. Step 2: Convert to fraction form
   37,802.50/82,523 = 82,523/x
3. Step 3: Cross multiply
   37,802.50x = 82,523 × 82,523
4. Step 4: Simplify right side
   37,802.50x = 6,810,045,529
5. Step 5: Solve for x
   x = 6,810,045,529/37,802.50
6. Step 6: Final answer
   x = 180,148.02