Finding the Third Proportional to 39,658 and 85,850

Step by Step Solution

1. Step 1: Write the proportion equation
   39,658 : 85,850 = 85,850 : x
2. Step 2: Convert to fraction form
   39,658/85,850 = 85,850/x
3. Step 3: Cross multiply
   39,658x = 85,850 × 85,850
4. Step 4: Simplify right side
   39,658x = 7,370,222,500
5. Step 5: Solve for x
   x = 7,370,222,500/39,658
6. Step 6: Final answer
   x = 185,844.53