Finding the Third Proportional to 11,740 and 17,550

Step by Step Solution

1. Step 1: Write the proportion equation
   11,740 : 17,550 = 17,550 : x
2. Step 2: Convert to fraction form
   11,740/17,550 = 17,550/x
3. Step 3: Cross multiply
   11,740x = 17,550 × 17,550
4. Step 4: Simplify right side
   11,740x = 308,002,500
5. Step 5: Solve for x
   x = 308,002,500/11,740
6. Step 6: Final answer
   x = 26,235.31