Finding the Third Proportional to 31,872 and 69,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 69,272 = 69,272 : x
2. Step 2: Convert to fraction form
   31,872/69,272 = 69,272/x
3. Step 3: Cross multiply
   31,872x = 69,272 × 69,272
4. Step 4: Simplify right side
   31,872x = 4,798,609,984
5. Step 5: Solve for x
   x = 4,798,609,984/31,872
6. Step 6: Final answer
   x = 150,558.80