Finding the Third Proportional to 10,542 and 15,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542 : 15,838.50 = 15,838.50 : x
2. Step 2: Convert to fraction form
   10,542/15,838.50 = 15,838.50/x
3. Step 3: Cross multiply
   10,542x = 15,838.50 × 15,838.50
4. Step 4: Simplify right side
   10,542x = 250,858,082.25
5. Step 5: Solve for x
   x = 250,858,082.25/10,542
6. Step 6: Final answer
   x = 23,796.06