Finding the Third Proportional to 24,996 and 52,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,996 : 52,802.25 = 52,802.25 : x
2. Step 2: Convert to fraction form
   24,996/52,802.25 = 52,802.25/x
3. Step 3: Cross multiply
   24,996x = 52,802.25 × 52,802.25
4. Step 4: Simplify right side
   24,996x = 2,788,077,605.06
5. Step 5: Solve for x
   x = 2,788,077,605.06/24,996
6. Step 6: Final answer
   x = 111,540.95