Finding the Third Proportional to 10,054 and 22,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054 : 22,822.50 = 22,822.50 : x
2. Step 2: Convert to fraction form
   10,054/22,822.50 = 22,822.50/x
3. Step 3: Cross multiply
   10,054x = 22,822.50 × 22,822.50
4. Step 4: Simplify right side
   10,054x = 520,866,506.25
5. Step 5: Solve for x
   x = 520,866,506.25/10,054
6. Step 6: Final answer
   x = 51,806.89