Finding the Third Proportional to 64,792 and 105,799

Step by Step Solution

1. Step 1: Write the proportion equation
   64,792 : 105,799 = 105,799 : x
2. Step 2: Convert to fraction form
   64,792/105,799 = 105,799/x
3. Step 3: Cross multiply
   64,792x = 105,799 × 105,799
4. Step 4: Simplify right side
   64,792x = 11,193,428,401
5. Step 5: Solve for x
   x = 11,193,428,401/64,792
6. Step 6: Final answer
   x = 172,759.42