Finding the Third Proportional to 23,853 and 51,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,853 : 51,806.50 = 51,806.50 : x
2. Step 2: Convert to fraction form
   23,853/51,806.50 = 51,806.50/x
3. Step 3: Cross multiply
   23,853x = 51,806.50 × 51,806.50
4. Step 4: Simplify right side
   23,853x = 2,683,913,442.25
5. Step 5: Solve for x
   x = 2,683,913,442.25/23,853
6. Step 6: Final answer
   x = 112,518.91