Finding the Third Proportional to 32,049 and 69,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,049 : 69,626.25 = 69,626.25 : x
2. Step 2: Convert to fraction form
   32,049/69,626.25 = 69,626.25/x
3. Step 3: Cross multiply
   32,049x = 69,626.25 × 69,626.25
4. Step 4: Simplify right side
   32,049x = 4,847,814,689.06
5. Step 5: Solve for x
   x = 4,847,814,689.06/32,049
6. Step 6: Final answer
   x = 151,262.59