Finding the Third Proportional to 34,677 and 52,380

Step by Step Solution

1. Step 1: Write the proportion equation
   34,677 : 52,380 = 52,380 : x
2. Step 2: Convert to fraction form
   34,677/52,380 = 52,380/x
3. Step 3: Cross multiply
   34,677x = 52,380 × 52,380
4. Step 4: Simplify right side
   34,677x = 2,743,664,400
5. Step 5: Solve for x
   x = 2,743,664,400/34,677
6. Step 6: Final answer
   x = 79,120.58