Finding the Third Proportional to 29,702 and 65,074

Step by Step Solution

1. Step 1: Write the proportion equation
   29,702 : 65,074 = 65,074 : x
2. Step 2: Convert to fraction form
   29,702/65,074 = 65,074/x
3. Step 3: Cross multiply
   29,702x = 65,074 × 65,074
4. Step 4: Simplify right side
   29,702x = 4,234,625,476
5. Step 5: Solve for x
   x = 4,234,625,476/29,702
6. Step 6: Final answer
   x = 142,570.38