Finding the Third Proportional to 32,003 and 70,225

Step by Step Solution

1. Step 1: Write the proportion equation
   32,003 : 70,225 = 70,225 : x
2. Step 2: Convert to fraction form
   32,003/70,225 = 70,225/x
3. Step 3: Cross multiply
   32,003x = 70,225 × 70,225
4. Step 4: Simplify right side
   32,003x = 4,931,550,625
5. Step 5: Solve for x
   x = 4,931,550,625/32,003
6. Step 6: Final answer
   x = 154,096.51