Finding the Third Proportional to 21,384 and 51,516

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 51,516 = 51,516 : x
2. Step 2: Convert to fraction form
   21,384/51,516 = 51,516/x
3. Step 3: Cross multiply
   21,384x = 51,516 × 51,516
4. Step 4: Simplify right side
   21,384x = 2,653,898,256
5. Step 5: Solve for x
   x = 2,653,898,256/21,384
6. Step 6: Final answer
   x = 124,106.73