Finding the Third Proportional to 37,513.50 and 82,479

Step by Step Solution

1. Step 1: Write the proportion equation
   37,513.50 : 82,479 = 82,479 : x
2. Step 2: Convert to fraction form
   37,513.50/82,479 = 82,479/x
3. Step 3: Cross multiply
   37,513.50x = 82,479 × 82,479
4. Step 4: Simplify right side
   37,513.50x = 6,802,785,441
5. Step 5: Solve for x
   x = 6,802,785,441/37,513.50
6. Step 6: Final answer
   x = 181,342.33