Finding the Third Proportional to 7,078 and 13,850

Step by Step Solution

1. Step 1: Write the proportion equation
   7,078 : 13,850 = 13,850 : x
2. Step 2: Convert to fraction form
   7,078/13,850 = 13,850/x
3. Step 3: Cross multiply
   7,078x = 13,850 × 13,850
4. Step 4: Simplify right side
   7,078x = 191,822,500
5. Step 5: Solve for x
   x = 191,822,500/7,078
6. Step 6: Final answer
   x = 27,101.23