Finding the Third Proportional to 34,142 and 51,690

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142 : 51,690 = 51,690 : x
2. Step 2: Convert to fraction form
   34,142/51,690 = 51,690/x
3. Step 3: Cross multiply
   34,142x = 51,690 × 51,690
4. Step 4: Simplify right side
   34,142x = 2,671,856,100
5. Step 5: Solve for x
   x = 2,671,856,100/34,142
6. Step 6: Final answer
   x = 78,257.16