Finding the Third Proportional to 40,702 and 83,840

Step by Step Solution

1. Step 1: Write the proportion equation
   40,702 : 83,840 = 83,840 : x
2. Step 2: Convert to fraction form
   40,702/83,840 = 83,840/x
3. Step 3: Cross multiply
   40,702x = 83,840 × 83,840
4. Step 4: Simplify right side
   40,702x = 7,029,145,600
5. Step 5: Solve for x
   x = 7,029,145,600/40,702
6. Step 6: Final answer
   x = 172,697.79