Finding the Third Proportional to 36,543.38 and 82,537.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36,543.38 : 82,537.88 = 82,537.88 : x
2. Step 2: Convert to fraction form
   36,543.38/82,537.88 = 82,537.88/x
3. Step 3: Cross multiply
   36,543.38x = 82,537.88 × 82,537.88
4. Step 4: Simplify right side
   36,543.38x = 6,812,500,809.52
5. Step 5: Solve for x
   x = 6,812,500,809.52/36,543.38
6. Step 6: Final answer
   x = 186,422.32