Finding the Third Proportional to 34,856 and 52,364

Step by Step Solution

1. Step 1: Write the proportion equation
   34,856 : 52,364 = 52,364 : x
2. Step 2: Convert to fraction form
   34,856/52,364 = 52,364/x
3. Step 3: Cross multiply
   34,856x = 52,364 × 52,364
4. Step 4: Simplify right side
   34,856x = 2,741,988,496
5. Step 5: Solve for x
   x = 2,741,988,496/34,856
6. Step 6: Final answer
   x = 78,666.18