Finding the Third Proportional to 32,874 and 72,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,874 : 72,005.25 = 72,005.25 : x
2. Step 2: Convert to fraction form
   32,874/72,005.25 = 72,005.25/x
3. Step 3: Cross multiply
   32,874x = 72,005.25 × 72,005.25
4. Step 4: Simplify right side
   32,874x = 5,184,756,027.56
5. Step 5: Solve for x
   x = 5,184,756,027.56/32,874
6. Step 6: Final answer
   x = 157,716.01