Finding the Third Proportional to 7,042 and 13,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,042 : 13,196.75 = 13,196.75 : x
2. Step 2: Convert to fraction form
   7,042/13,196.75 = 13,196.75/x
3. Step 3: Cross multiply
   7,042x = 13,196.75 × 13,196.75
4. Step 4: Simplify right side
   7,042x = 174,154,210.56
5. Step 5: Solve for x
   x = 174,154,210.56/7,042
6. Step 6: Final answer
   x = 24,730.79