Finding the Third Proportional to 34,392 and 51,460

Step by Step Solution

1. Step 1: Write the proportion equation
   34,392 : 51,460 = 51,460 : x
2. Step 2: Convert to fraction form
   34,392/51,460 = 51,460/x
3. Step 3: Cross multiply
   34,392x = 51,460 × 51,460
4. Step 4: Simplify right side
   34,392x = 2,648,131,600
5. Step 5: Solve for x
   x = 2,648,131,600/34,392
6. Step 6: Final answer
   x = 76,998.48