Finding the Third Proportional to 5,683.88 and 13,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,683.88 : 13,398.50 = 13,398.50 : x
2. Step 2: Convert to fraction form
   5,683.88/13,398.50 = 13,398.50/x
3. Step 3: Cross multiply
   5,683.88x = 13,398.50 × 13,398.50
4. Step 4: Simplify right side
   5,683.88x = 179,519,802.25
5. Step 5: Solve for x
   x = 179,519,802.25/5,683.88
6. Step 6: Final answer
   x = 31,584.05