Finding the Third Proportional to 24,798 and 52,144

Step by Step Solution

1. Step 1: Write the proportion equation
   24,798 : 52,144 = 52,144 : x
2. Step 2: Convert to fraction form
   24,798/52,144 = 52,144/x
3. Step 3: Cross multiply
   24,798x = 52,144 × 52,144
4. Step 4: Simplify right side
   24,798x = 2,718,996,736
5. Step 5: Solve for x
   x = 2,718,996,736/24,798
6. Step 6: Final answer
   x = 109,645.81