Finding the Third Proportional to 34,134 and 52,658

Step by Step Solution

1. Step 1: Write the proportion equation
   34,134 : 52,658 = 52,658 : x
2. Step 2: Convert to fraction form
   34,134/52,658 = 52,658/x
3. Step 3: Cross multiply
   34,134x = 52,658 × 52,658
4. Step 4: Simplify right side
   34,134x = 2,772,864,964
5. Step 5: Solve for x
   x = 2,772,864,964/34,134
6. Step 6: Final answer
   x = 81,234.69