Finding the Third Proportional to 34,631.50 and 75,174.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,631.50 : 75,174.25 = 75,174.25 : x
2. Step 2: Convert to fraction form
   34,631.50/75,174.25 = 75,174.25/x
3. Step 3: Cross multiply
   34,631.50x = 75,174.25 × 75,174.25
4. Step 4: Simplify right side
   34,631.50x = 5,651,167,863.06
5. Step 5: Solve for x
   x = 5,651,167,863.06/34,631.50
6. Step 6: Final answer
   x = 163,179.99