Finding the Third Proportional to 38,216 and 82,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,216 : 82,993.50 = 82,993.50 : x
2. Step 2: Convert to fraction form
   38,216/82,993.50 = 82,993.50/x
3. Step 3: Cross multiply
   38,216x = 82,993.50 × 82,993.50
4. Step 4: Simplify right side
   38,216x = 6,887,921,042.25
5. Step 5: Solve for x
   x = 6,887,921,042.25/38,216
6. Step 6: Final answer
   x = 180,236.58