Finding the Third Proportional to 13,516.88 and 20,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,516.88 : 20,538.56 = 20,538.56 : x
2. Step 2: Convert to fraction form
   13,516.88/20,538.56 = 20,538.56/x
3. Step 3: Cross multiply
   13,516.88x = 20,538.56 × 20,538.56
4. Step 4: Simplify right side
   13,516.88x = 421,832,549.57
5. Step 5: Solve for x
   x = 421,832,549.57/13,516.88
6. Step 6: Final answer
   x = 31,207.85