Finding the Third Proportional to 34,672 and 52,314

Step by Step Solution

1. Step 1: Write the proportion equation
   34,672 : 52,314 = 52,314 : x
2. Step 2: Convert to fraction form
   34,672/52,314 = 52,314/x
3. Step 3: Cross multiply
   34,672x = 52,314 × 52,314
4. Step 4: Simplify right side
   34,672x = 2,736,754,596
5. Step 5: Solve for x
   x = 2,736,754,596/34,672
6. Step 6: Final answer
   x = 78,932.70