Finding the Third Proportional to 37,411.03 and 82,097.72

Step by Step Solution

1. Step 1: Write the proportion equation
   37,411.03 : 82,097.72 = 82,097.72 : x
2. Step 2: Convert to fraction form
   37,411.03/82,097.72 = 82,097.72/x
3. Step 3: Cross multiply
   37,411.03x = 82,097.72 × 82,097.72
4. Step 4: Simplify right side
   37,411.03x = 6,740,035,423.95
5. Step 5: Solve for x
   x = 6,740,035,423.95/37,411.03
6. Step 6: Final answer
   x = 180,161.71