Finding the Third Proportional to 21,784.50 and 51,351.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,784.50 : 51,351.75 = 51,351.75 : x
2. Step 2: Convert to fraction form
   21,784.50/51,351.75 = 51,351.75/x
3. Step 3: Cross multiply
   21,784.50x = 51,351.75 × 51,351.75
4. Step 4: Simplify right side
   21,784.50x = 2,637,002,228.06
5. Step 5: Solve for x
   x = 2,637,002,228.06/21,784.50
6. Step 6: Final answer
   x = 121,049.47