Finding the Third Proportional to 34,598 and 75,799

Step by Step Solution

1. Step 1: Write the proportion equation
   34,598 : 75,799 = 75,799 : x
2. Step 2: Convert to fraction form
   34,598/75,799 = 75,799/x
3. Step 3: Cross multiply
   34,598x = 75,799 × 75,799
4. Step 4: Simplify right side
   34,598x = 5,745,488,401
5. Step 5: Solve for x
   x = 5,745,488,401/34,598
6. Step 6: Final answer
   x = 166,064.18