Finding the Third Proportional to 34,561 and 75,818

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561 : 75,818 = 75,818 : x
2. Step 2: Convert to fraction form
   34,561/75,818 = 75,818/x
3. Step 3: Cross multiply
   34,561x = 75,818 × 75,818
4. Step 4: Simplify right side
   34,561x = 5,748,369,124
5. Step 5: Solve for x
   x = 5,748,369,124/34,561
6. Step 6: Final answer
   x = 166,325.31