Finding the Third Proportional to 14,648 and 31,948

Step by Step Solution

1. Step 1: Write the proportion equation
   14,648 : 31,948 = 31,948 : x
2. Step 2: Convert to fraction form
   14,648/31,948 = 31,948/x
3. Step 3: Cross multiply
   14,648x = 31,948 × 31,948
4. Step 4: Simplify right side
   14,648x = 1,020,674,704
5. Step 5: Solve for x
   x = 1,020,674,704/14,648
6. Step 6: Final answer
   x = 69,680.14