Finding the Third Proportional to 5,142 and 10,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142 : 10,567.50 = 10,567.50 : x
2. Step 2: Convert to fraction form
   5,142/10,567.50 = 10,567.50/x
3. Step 3: Cross multiply
   5,142x = 10,567.50 × 10,567.50
4. Step 4: Simplify right side
   5,142x = 111,672,056.25
5. Step 5: Solve for x
   x = 111,672,056.25/5,142
6. Step 6: Final answer
   x = 21,717.63