Finding the Third Proportional to 39,683.25 and 82,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,683.25 : 82,633.50 = 82,633.50 : x
2. Step 2: Convert to fraction form
   39,683.25/82,633.50 = 82,633.50/x
3. Step 3: Cross multiply
   39,683.25x = 82,633.50 × 82,633.50
4. Step 4: Simplify right side
   39,683.25x = 6,828,295,322.25
5. Step 5: Solve for x
   x = 6,828,295,322.25/39,683.25
6. Step 6: Final answer
   x = 172,069.96