Finding the Third Proportional to 34,116 and 51,696

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 51,696 = 51,696 : x
2. Step 2: Convert to fraction form
   34,116/51,696 = 51,696/x
3. Step 3: Cross multiply
   34,116x = 51,696 × 51,696
4. Step 4: Simplify right side
   34,116x = 2,672,476,416
5. Step 5: Solve for x
   x = 2,672,476,416/34,116
6. Step 6: Final answer
   x = 78,334.99