Finding the Third Proportional to 13,378.50 and 22,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,378.50 : 22,182.75 = 22,182.75 : x
2. Step 2: Convert to fraction form
   13,378.50/22,182.75 = 22,182.75/x
3. Step 3: Cross multiply
   13,378.50x = 22,182.75 × 22,182.75
4. Step 4: Simplify right side
   13,378.50x = 492,074,397.56
5. Step 5: Solve for x
   x = 492,074,397.56/13,378.50
6. Step 6: Final answer
   x = 36,780.98