Finding the Third Proportional to 32,832 and 70,272

Step by Step Solution

1. Step 1: Write the proportion equation
   32,832 : 70,272 = 70,272 : x
2. Step 2: Convert to fraction form
   32,832/70,272 = 70,272/x
3. Step 3: Cross multiply
   32,832x = 70,272 × 70,272
4. Step 4: Simplify right side
   32,832x = 4,938,153,984
5. Step 5: Solve for x
   x = 4,938,153,984/32,832
6. Step 6: Final answer
   x = 150,406.74