Finding the Third Proportional to 13,948 and 31,576

Step by Step Solution

1. Step 1: Write the proportion equation
   13,948 : 31,576 = 31,576 : x
2. Step 2: Convert to fraction form
   13,948/31,576 = 31,576/x
3. Step 3: Cross multiply
   13,948x = 31,576 × 31,576
4. Step 4: Simplify right side
   13,948x = 997,043,776
5. Step 5: Solve for x
   x = 997,043,776/13,948
6. Step 6: Final answer
   x = 71,482.92