Finding the Third Proportional to 32,820 and 70,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,820 : 70,314 = 70,314 : x
2. Step 2: Convert to fraction form
   32,820/70,314 = 70,314/x
3. Step 3: Cross multiply
   32,820x = 70,314 × 70,314
4. Step 4: Simplify right side
   32,820x = 4,944,058,596
5. Step 5: Solve for x
   x = 4,944,058,596/32,820
6. Step 6: Final answer
   x = 150,641.64