Finding the Third Proportional to 24,684 and 52,310.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,684 : 52,310.25 = 52,310.25 : x
2. Step 2: Convert to fraction form
   24,684/52,310.25 = 52,310.25/x
3. Step 3: Cross multiply
   24,684x = 52,310.25 × 52,310.25
4. Step 4: Simplify right side
   24,684x = 2,736,362,255.06
5. Step 5: Solve for x
   x = 2,736,362,255.06/24,684
6. Step 6: Final answer
   x = 110,855.71