Finding the Third Proportional to 13,378.50 and 20,795.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,378.50 : 20,795.06 = 20,795.06 : x
2. Step 2: Convert to fraction form
   13,378.50/20,795.06 = 20,795.06/x
3. Step 3: Cross multiply
   13,378.50x = 20,795.06 × 20,795.06
4. Step 4: Simplify right side
   13,378.50x = 432,434,624.38
5. Step 5: Solve for x
   x = 432,434,624.38/13,378.50
6. Step 6: Final answer
   x = 32,323.10