Finding the Third Proportional to 32,974.50 and 75,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974.50 : 75,145.50 = 75,145.50 : x
2. Step 2: Convert to fraction form
   32,974.50/75,145.50 = 75,145.50/x
3. Step 3: Cross multiply
   32,974.50x = 75,145.50 × 75,145.50
4. Step 4: Simplify right side
   32,974.50x = 5,646,846,170.25
5. Step 5: Solve for x
   x = 5,646,846,170.25/32,974.50
6. Step 6: Final answer
   x = 171,248.88