Finding the Third Proportional to 13,378.50 and 20,705.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,378.50 : 20,705.63 = 20,705.63 : x
2. Step 2: Convert to fraction form
   13,378.50/20,705.63 = 20,705.63/x
3. Step 3: Cross multiply
   13,378.50x = 20,705.63 × 20,705.63
4. Step 4: Simplify right side
   13,378.50x = 428,722,906.64
5. Step 5: Solve for x
   x = 428,722,906.64/13,378.50
6. Step 6: Final answer
   x = 32,045.66