Finding the Third Proportional to 32,814 and 70,300

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 70,300 = 70,300 : x
2. Step 2: Convert to fraction form
   32,814/70,300 = 70,300/x
3. Step 3: Cross multiply
   32,814x = 70,300 × 70,300
4. Step 4: Simplify right side
   32,814x = 4,942,090,000
5. Step 5: Solve for x
   x = 4,942,090,000/32,814
6. Step 6: Final answer
   x = 150,609.19