Finding the Third Proportional to 11,600 and 27,932

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 27,932 = 27,932 : x
2. Step 2: Convert to fraction form
   11,600/27,932 = 27,932/x
3. Step 3: Cross multiply
   11,600x = 27,932 × 27,932
4. Step 4: Simplify right side
   11,600x = 780,196,624
5. Step 5: Solve for x
   x = 780,196,624/11,600
6. Step 6: Final answer
   x = 67,258.33