Finding the Third Proportional to 23,698 and 52,648

Step by Step Solution

1. Step 1: Write the proportion equation
   23,698 : 52,648 = 52,648 : x
2. Step 2: Convert to fraction form
   23,698/52,648 = 52,648/x
3. Step 3: Cross multiply
   23,698x = 52,648 × 52,648
4. Step 4: Simplify right side
   23,698x = 2,771,811,904
5. Step 5: Solve for x
   x = 2,771,811,904/23,698
6. Step 6: Final answer
   x = 116,963.96