Finding the Third Proportional to 38,992.50 and 82,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,992.50 : 82,633.50 = 82,633.50 : x
2. Step 2: Convert to fraction form
   38,992.50/82,633.50 = 82,633.50/x
3. Step 3: Cross multiply
   38,992.50x = 82,633.50 × 82,633.50
4. Step 4: Simplify right side
   38,992.50x = 6,828,295,322.25
5. Step 5: Solve for x
   x = 6,828,295,322.25/38,992.50
6. Step 6: Final answer
   x = 175,118.17