Finding the Third Proportional to 32,143 and 69,225

Step by Step Solution

1. Step 1: Write the proportion equation
   32,143 : 69,225 = 69,225 : x
2. Step 2: Convert to fraction form
   32,143/69,225 = 69,225/x
3. Step 3: Cross multiply
   32,143x = 69,225 × 69,225
4. Step 4: Simplify right side
   32,143x = 4,792,100,625
5. Step 5: Solve for x
   x = 4,792,100,625/32,143
6. Step 6: Final answer
   x = 149,086.91