Finding the Third Proportional to 5,841 and 12,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,841 : 12,097.50 = 12,097.50 : x
2. Step 2: Convert to fraction form
   5,841/12,097.50 = 12,097.50/x
3. Step 3: Cross multiply
   5,841x = 12,097.50 × 12,097.50
4. Step 4: Simplify right side
   5,841x = 146,349,506.25
5. Step 5: Solve for x
   x = 146,349,506.25/5,841
6. Step 6: Final answer
   x = 25,055.56