Finding the Third Proportional to 34,516 and 75,494

Step by Step Solution

1. Step 1: Write the proportion equation
   34,516 : 75,494 = 75,494 : x
2. Step 2: Convert to fraction form
   34,516/75,494 = 75,494/x
3. Step 3: Cross multiply
   34,516x = 75,494 × 75,494
4. Step 4: Simplify right side
   34,516x = 5,699,344,036
5. Step 5: Solve for x
   x = 5,699,344,036/34,516
6. Step 6: Final answer
   x = 165,121.80