Finding the Third Proportional to 13,738.50 and 23,325.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,738.50 : 23,325.75 = 23,325.75 : x
2. Step 2: Convert to fraction form
   13,738.50/23,325.75 = 23,325.75/x
3. Step 3: Cross multiply
   13,738.50x = 23,325.75 × 23,325.75
4. Step 4: Simplify right side
   13,738.50x = 544,090,613.06
5. Step 5: Solve for x
   x = 544,090,613.06/13,738.50
6. Step 6: Final answer
   x = 39,603.35