Finding the Third Proportional to 38,944 and 86,650

Step by Step Solution

1. Step 1: Write the proportion equation
   38,944 : 86,650 = 86,650 : x
2. Step 2: Convert to fraction form
   38,944/86,650 = 86,650/x
3. Step 3: Cross multiply
   38,944x = 86,650 × 86,650
4. Step 4: Simplify right side
   38,944x = 7,508,222,500
5. Step 5: Solve for x
   x = 7,508,222,500/38,944
6. Step 6: Final answer
   x = 192,795.36