Finding the Third Proportional to 32,314 and 70,630

Step by Step Solution

1. Step 1: Write the proportion equation
   32,314 : 70,630 = 70,630 : x
2. Step 2: Convert to fraction form
   32,314/70,630 = 70,630/x
3. Step 3: Cross multiply
   32,314x = 70,630 × 70,630
4. Step 4: Simplify right side
   32,314x = 4,988,596,900
5. Step 5: Solve for x
   x = 4,988,596,900/32,314
6. Step 6: Final answer
   x = 154,378.81