Finding the Third Proportional to 32,803 and 70,274

Step by Step Solution

1. Step 1: Write the proportion equation
   32,803 : 70,274 = 70,274 : x
2. Step 2: Convert to fraction form
   32,803/70,274 = 70,274/x
3. Step 3: Cross multiply
   32,803x = 70,274 × 70,274
4. Step 4: Simplify right side
   32,803x = 4,938,435,076
5. Step 5: Solve for x
   x = 4,938,435,076/32,803
6. Step 6: Final answer
   x = 150,548.28