Finding the Third Proportional to 13,396.50 and 18,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,396.50 : 18,677.25 = 18,677.25 : x
2. Step 2: Convert to fraction form
   13,396.50/18,677.25 = 18,677.25/x
3. Step 3: Cross multiply
   13,396.50x = 18,677.25 × 18,677.25
4. Step 4: Simplify right side
   13,396.50x = 348,839,667.56
5. Step 5: Solve for x
   x = 348,839,667.56/13,396.50
6. Step 6: Final answer
   x = 26,039.61