Finding the Third Proportional to 34,561.69 and 75,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561.69 : 75,613.50 = 75,613.50 : x
2. Step 2: Convert to fraction form
   34,561.69/75,613.50 = 75,613.50/x
3. Step 3: Cross multiply
   34,561.69x = 75,613.50 × 75,613.50
4. Step 4: Simplify right side
   34,561.69x = 5,717,401,382.25
5. Step 5: Solve for x
   x = 5,717,401,382.25/34,561.69
6. Step 6: Final answer
   x = 165,425.99