Finding the Third Proportional to 17,760 and 27,858

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760 : 27,858 = 27,858 : x
2. Step 2: Convert to fraction form
   17,760/27,858 = 27,858/x
3. Step 3: Cross multiply
   17,760x = 27,858 × 27,858
4. Step 4: Simplify right side
   17,760x = 776,068,164
5. Step 5: Solve for x
   x = 776,068,164/17,760
6. Step 6: Final answer
   x = 43,697.53