Finding the Third Proportional to 10,106 and 16,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 16,143.50 = 16,143.50 : x
2. Step 2: Convert to fraction form
   10,106/16,143.50 = 16,143.50/x
3. Step 3: Cross multiply
   10,106x = 16,143.50 × 16,143.50
4. Step 4: Simplify right side
   10,106x = 260,612,592.25
5. Step 5: Solve for x
   x = 260,612,592.25/10,106
6. Step 6: Final answer
   x = 25,787.91