Finding the Third Proportional to 37,104.75 and 82,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,104.75 : 82,516.50 = 82,516.50 : x
2. Step 2: Convert to fraction form
   37,104.75/82,516.50 = 82,516.50/x
3. Step 3: Cross multiply
   37,104.75x = 82,516.50 × 82,516.50
4. Step 4: Simplify right side
   37,104.75x = 6,808,972,772.25
5. Step 5: Solve for x
   x = 6,808,972,772.25/37,104.75
6. Step 6: Final answer
   x = 183,506.77