Finding the Third Proportional to 34,561 and 52,158

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561 : 52,158 = 52,158 : x
2. Step 2: Convert to fraction form
   34,561/52,158 = 52,158/x
3. Step 3: Cross multiply
   34,561x = 52,158 × 52,158
4. Step 4: Simplify right side
   34,561x = 2,720,456,964
5. Step 5: Solve for x
   x = 2,720,456,964/34,561
6. Step 6: Final answer
   x = 78,714.65