Finding the Third Proportional to 37,547.50 and 82,059

Step by Step Solution

1. Step 1: Write the proportion equation
   37,547.50 : 82,059 = 82,059 : x
2. Step 2: Convert to fraction form
   37,547.50/82,059 = 82,059/x
3. Step 3: Cross multiply
   37,547.50x = 82,059 × 82,059
4. Step 4: Simplify right side
   37,547.50x = 6,733,679,481
5. Step 5: Solve for x
   x = 6,733,679,481/37,547.50
6. Step 6: Final answer
   x = 179,337.63