Finding the Third Proportional to 34,958 and 52,461

Step by Step Solution

1. Step 1: Write the proportion equation
   34,958 : 52,461 = 52,461 : x
2. Step 2: Convert to fraction form
   34,958/52,461 = 52,461/x
3. Step 3: Cross multiply
   34,958x = 52,461 × 52,461
4. Step 4: Simplify right side
   34,958x = 2,752,156,521
5. Step 5: Solve for x
   x = 2,752,156,521/34,958
6. Step 6: Final answer
   x = 78,727.52