Finding the Third Proportional to 5,026.50 and 13,362.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,026.50 : 13,362.75 = 13,362.75 : x
2. Step 2: Convert to fraction form
   5,026.50/13,362.75 = 13,362.75/x
3. Step 3: Cross multiply
   5,026.50x = 13,362.75 × 13,362.75
4. Step 4: Simplify right side
   5,026.50x = 178,563,087.56
5. Step 5: Solve for x
   x = 178,563,087.56/5,026.50
6. Step 6: Final answer
   x = 35,524.34