Finding the Third Proportional to 23,548 and 51,470

Step by Step Solution

1. Step 1: Write the proportion equation
   23,548 : 51,470 = 51,470 : x
2. Step 2: Convert to fraction form
   23,548/51,470 = 51,470/x
3. Step 3: Cross multiply
   23,548x = 51,470 × 51,470
4. Step 4: Simplify right side
   23,548x = 2,649,160,900
5. Step 5: Solve for x
   x = 2,649,160,900/23,548
6. Step 6: Final answer
   x = 112,500.46