Finding the Third Proportional to 37,516.50 and 82,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,516.50 : 82,003.50 = 82,003.50 : x
2. Step 2: Convert to fraction form
   37,516.50/82,003.50 = 82,003.50/x
3. Step 3: Cross multiply
   37,516.50x = 82,003.50 × 82,003.50
4. Step 4: Simplify right side
   37,516.50x = 6,724,574,012.25
5. Step 5: Solve for x
   x = 6,724,574,012.25/37,516.50
6. Step 6: Final answer
   x = 179,243.11