Finding the Third Proportional to 32,781.50 and 70,342

Step by Step Solution

1. Step 1: Write the proportion equation
   32,781.50 : 70,342 = 70,342 : x
2. Step 2: Convert to fraction form
   32,781.50/70,342 = 70,342/x
3. Step 3: Cross multiply
   32,781.50x = 70,342 × 70,342
4. Step 4: Simplify right side
   32,781.50x = 4,947,996,964
5. Step 5: Solve for x
   x = 4,947,996,964/32,781.50
6. Step 6: Final answer
   x = 150,938.70