Finding the Third Proportional to 32,142 and 70,512

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 70,512 = 70,512 : x
2. Step 2: Convert to fraction form
   32,142/70,512 = 70,512/x
3. Step 3: Cross multiply
   32,142x = 70,512 × 70,512
4. Step 4: Simplify right side
   32,142x = 4,971,942,144
5. Step 5: Solve for x
   x = 4,971,942,144/32,142
6. Step 6: Final answer
   x = 154,686.77