Finding the Third Proportional to 34,619.50 and 75,314

Step by Step Solution

1. Step 1: Write the proportion equation
   34,619.50 : 75,314 = 75,314 : x
2. Step 2: Convert to fraction form
   34,619.50/75,314 = 75,314/x
3. Step 3: Cross multiply
   34,619.50x = 75,314 × 75,314
4. Step 4: Simplify right side
   34,619.50x = 5,672,198,596
5. Step 5: Solve for x
   x = 5,672,198,596/34,619.50
6. Step 6: Final answer
   x = 163,844.04