Finding the Third Proportional to 23,648 and 31,272

Step by Step Solution

1. Step 1: Write the proportion equation
   23,648 : 31,272 = 31,272 : x
2. Step 2: Convert to fraction form
   23,648/31,272 = 31,272/x
3. Step 3: Cross multiply
   23,648x = 31,272 × 31,272
4. Step 4: Simplify right side
   23,648x = 977,937,984
5. Step 5: Solve for x
   x = 977,937,984/23,648
6. Step 6: Final answer
   x = 41,353.94