Finding the Third Proportional to 13,592.81 and 20,577.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,592.81 : 20,577.16 = 20,577.16 : x
2. Step 2: Convert to fraction form
   13,592.81/20,577.16 = 20,577.16/x
3. Step 3: Cross multiply
   13,592.81x = 20,577.16 × 20,577.16
4. Step 4: Simplify right side
   13,592.81x = 423,419,680.86
5. Step 5: Solve for x
   x = 423,419,680.86/13,592.81
6. Step 6: Final answer
   x = 31,150.26