Finding the Third Proportional to 32,814 and 70,296

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 70,296 = 70,296 : x
2. Step 2: Convert to fraction form
   32,814/70,296 = 70,296/x
3. Step 3: Cross multiply
   32,814x = 70,296 × 70,296
4. Step 4: Simplify right side
   32,814x = 4,941,527,616
5. Step 5: Solve for x
   x = 4,941,527,616/32,814
6. Step 6: Final answer
   x = 150,592.05