Finding the Third Proportional to 34,677 and 53,799

Step by Step Solution

1. Step 1: Write the proportion equation
   34,677 : 53,799 = 53,799 : x
2. Step 2: Convert to fraction form
   34,677/53,799 = 53,799/x
3. Step 3: Cross multiply
   34,677x = 53,799 × 53,799
4. Step 4: Simplify right side
   34,677x = 2,894,332,401
5. Step 5: Solve for x
   x = 2,894,332,401/34,677
6. Step 6: Final answer
   x = 83,465.48