Finding the Third Proportional to 5,853 and 12,602

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853 : 12,602 = 12,602 : x
2. Step 2: Convert to fraction form
   5,853/12,602 = 12,602/x
3. Step 3: Cross multiply
   5,853x = 12,602 × 12,602
4. Step 4: Simplify right side
   5,853x = 158,810,404
5. Step 5: Solve for x
   x = 158,810,404/5,853
6. Step 6: Final answer
   x = 27,133.16