Finding the Third Proportional to 15,349.50 and 20,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   15,349.50 : 20,538.56 = 20,538.56 : x
2. Step 2: Convert to fraction form
   15,349.50/20,538.56 = 20,538.56/x
3. Step 3: Cross multiply
   15,349.50x = 20,538.56 × 20,538.56
4. Step 4: Simplify right side
   15,349.50x = 421,832,549.57
5. Step 5: Solve for x
   x = 421,832,549.57/15,349.50
6. Step 6: Final answer
   x = 27,481.84