Finding the Third Proportional to 37,543.50 and 82,051

Step by Step Solution

1. Step 1: Write the proportion equation
   37,543.50 : 82,051 = 82,051 : x
2. Step 2: Convert to fraction form
   37,543.50/82,051 = 82,051/x
3. Step 3: Cross multiply
   37,543.50x = 82,051 × 82,051
4. Step 4: Simplify right side
   37,543.50x = 6,732,366,601
5. Step 5: Solve for x
   x = 6,732,366,601/37,543.50
6. Step 6: Final answer
   x = 179,321.76