Finding the Third Proportional to 5,817 and 12,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,817 : 12,145.50 = 12,145.50 : x
2. Step 2: Convert to fraction form
   5,817/12,145.50 = 12,145.50/x
3. Step 3: Cross multiply
   5,817x = 12,145.50 × 12,145.50
4. Step 4: Simplify right side
   5,817x = 147,513,170.25
5. Step 5: Solve for x
   x = 147,513,170.25/5,817
6. Step 6: Final answer
   x = 25,358.98