Finding the Third Proportional to 21,849 and 51,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,849 : 51,358.50 = 51,358.50 : x
2. Step 2: Convert to fraction form
   21,849/51,358.50 = 51,358.50/x
3. Step 3: Cross multiply
   21,849x = 51,358.50 × 51,358.50
4. Step 4: Simplify right side
   21,849x = 2,637,695,522.25
5. Step 5: Solve for x
   x = 2,637,695,522.25/21,849
6. Step 6: Final answer
   x = 120,723.86