Finding the Third Proportional to 34,802 and 52,895

Step by Step Solution

1. Step 1: Write the proportion equation
   34,802 : 52,895 = 52,895 : x
2. Step 2: Convert to fraction form
   34,802/52,895 = 52,895/x
3. Step 3: Cross multiply
   34,802x = 52,895 × 52,895
4. Step 4: Simplify right side
   34,802x = 2,797,881,025
5. Step 5: Solve for x
   x = 2,797,881,025/34,802
6. Step 6: Final answer
   x = 80,394.26