Finding the Third Proportional to 5,836.50 and 13,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.50 : 13,477.50 = 13,477.50 : x
2. Step 2: Convert to fraction form
   5,836.50/13,477.50 = 13,477.50/x
3. Step 3: Cross multiply
   5,836.50x = 13,477.50 × 13,477.50
4. Step 4: Simplify right side
   5,836.50x = 181,643,006.25
5. Step 5: Solve for x
   x = 181,643,006.25/5,836.50
6. Step 6: Final answer
   x = 31,121.91