Finding the Third Proportional to 14,838 and 23,108

Step by Step Solution

1. Step 1: Write the proportion equation
   14,838 : 23,108 = 23,108 : x
2. Step 2: Convert to fraction form
   14,838/23,108 = 23,108/x
3. Step 3: Cross multiply
   14,838x = 23,108 × 23,108
4. Step 4: Simplify right side
   14,838x = 533,979,664
5. Step 5: Solve for x
   x = 533,979,664/14,838
6. Step 6: Final answer
   x = 35,987.31