Finding the Third Proportional to 54,296 and 76,460

Step by Step Solution

1. Step 1: Write the proportion equation
   54,296 : 76,460 = 76,460 : x
2. Step 2: Convert to fraction form
   54,296/76,460 = 76,460/x
3. Step 3: Cross multiply
   54,296x = 76,460 × 76,460
4. Step 4: Simplify right side
   54,296x = 5,846,131,600
5. Step 5: Solve for x
   x = 5,846,131,600/54,296
6. Step 6: Final answer
   x = 107,671.50