Finding the Third Proportional to 23,844 and 52,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,844 : 52,354.50 = 52,354.50 : x
2. Step 2: Convert to fraction form
   23,844/52,354.50 = 52,354.50/x
3. Step 3: Cross multiply
   23,844x = 52,354.50 × 52,354.50
4. Step 4: Simplify right side
   23,844x = 2,740,993,670.25
5. Step 5: Solve for x
   x = 2,740,993,670.25/23,844
6. Step 6: Final answer
   x = 114,955.28