Finding the Third Proportional to 7,494 and 16,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,494 : 16,142.25 = 16,142.25 : x
2. Step 2: Convert to fraction form
   7,494/16,142.25 = 16,142.25/x
3. Step 3: Cross multiply
   7,494x = 16,142.25 × 16,142.25
4. Step 4: Simplify right side
   7,494x = 260,572,235.06
5. Step 5: Solve for x
   x = 260,572,235.06/7,494
6. Step 6: Final answer
   x = 34,770.78