Finding the Third Proportional to 32,142 and 69,223

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 69,223 = 69,223 : x
2. Step 2: Convert to fraction form
   32,142/69,223 = 69,223/x
3. Step 3: Cross multiply
   32,142x = 69,223 × 69,223
4. Step 4: Simplify right side
   32,142x = 4,791,823,729
5. Step 5: Solve for x
   x = 4,791,823,729/32,142
6. Step 6: Final answer
   x = 149,082.94