Finding the Third Proportional to 10,078.50 and 21,887.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.50 : 21,887.25 = 21,887.25 : x
2. Step 2: Convert to fraction form
   10,078.50/21,887.25 = 21,887.25/x
3. Step 3: Cross multiply
   10,078.50x = 21,887.25 × 21,887.25
4. Step 4: Simplify right side
   10,078.50x = 479,051,712.56
5. Step 5: Solve for x
   x = 479,051,712.56/10,078.50
6. Step 6: Final answer
   x = 47,532.04