Finding the Third Proportional to 5,874 and 12,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,874 : 12,835.50 = 12,835.50 : x
2. Step 2: Convert to fraction form
   5,874/12,835.50 = 12,835.50/x
3. Step 3: Cross multiply
   5,874x = 12,835.50 × 12,835.50
4. Step 4: Simplify right side
   5,874x = 164,750,060.25
5. Step 5: Solve for x
   x = 164,750,060.25/5,874
6. Step 6: Final answer
   x = 28,047.34