Finding the Third Proportional to 23,838 and 52,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 52,438.50 = 52,438.50 : x
2. Step 2: Convert to fraction form
   23,838/52,438.50 = 52,438.50/x
3. Step 3: Cross multiply
   23,838x = 52,438.50 × 52,438.50
4. Step 4: Simplify right side
   23,838x = 2,749,796,282.25
5. Step 5: Solve for x
   x = 2,749,796,282.25/23,838
6. Step 6: Final answer
   x = 115,353.48