Finding the Third Proportional to 21,993 and 51,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,993 : 51,864.50 = 51,864.50 : x
2. Step 2: Convert to fraction form
   21,993/51,864.50 = 51,864.50/x
3. Step 3: Cross multiply
   21,993x = 51,864.50 × 51,864.50
4. Step 4: Simplify right side
   21,993x = 2,689,926,360.25
5. Step 5: Solve for x
   x = 2,689,926,360.25/21,993
6. Step 6: Final answer
   x = 122,308.30