Finding the Third Proportional to 35,005.50 and 75,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,005.50 : 75,613.50 = 75,613.50 : x
2. Step 2: Convert to fraction form
   35,005.50/75,613.50 = 75,613.50/x
3. Step 3: Cross multiply
   35,005.50x = 75,613.50 × 75,613.50
4. Step 4: Simplify right side
   35,005.50x = 5,717,401,382.25
5. Step 5: Solve for x
   x = 5,717,401,382.25/35,005.50
6. Step 6: Final answer
   x = 163,328.66