Finding the Third Proportional to 32,738.50 and 70,256

Step by Step Solution

1. Step 1: Write the proportion equation
   32,738.50 : 70,256 = 70,256 : x
2. Step 2: Convert to fraction form
   32,738.50/70,256 = 70,256/x
3. Step 3: Cross multiply
   32,738.50x = 70,256 × 70,256
4. Step 4: Simplify right side
   32,738.50x = 4,935,905,536
5. Step 5: Solve for x
   x = 4,935,905,536/32,738.50
6. Step 6: Final answer
   x = 150,767.61