Finding the Third Proportional to 13,180.50 and 21,408.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180.50 : 21,408.75 = 21,408.75 : x
2. Step 2: Convert to fraction form
   13,180.50/21,408.75 = 21,408.75/x
3. Step 3: Cross multiply
   13,180.50x = 21,408.75 × 21,408.75
4. Step 4: Simplify right side
   13,180.50x = 458,334,576.56
5. Step 5: Solve for x
   x = 458,334,576.56/13,180.50
6. Step 6: Final answer
   x = 34,773.69