Finding the Third Proportional to 34,112 and 51,698

Step by Step Solution

1. Step 1: Write the proportion equation
   34,112 : 51,698 = 51,698 : x
2. Step 2: Convert to fraction form
   34,112/51,698 = 51,698/x
3. Step 3: Cross multiply
   34,112x = 51,698 × 51,698
4. Step 4: Simplify right side
   34,112x = 2,672,683,204
5. Step 5: Solve for x
   x = 2,672,683,204/34,112
6. Step 6: Final answer
   x = 78,350.23