Finding the Third Proportional to 39,802 and 85,820

Step by Step Solution

1. Step 1: Write the proportion equation
   39,802 : 85,820 = 85,820 : x
2. Step 2: Convert to fraction form
   39,802/85,820 = 85,820/x
3. Step 3: Cross multiply
   39,802x = 85,820 × 85,820
4. Step 4: Simplify right side
   39,802x = 7,365,072,400
5. Step 5: Solve for x
   x = 7,365,072,400/39,802
6. Step 6: Final answer
   x = 185,042.77