Finding the Third Proportional to 10,150.31 and 13,577.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.31 : 13,577.63 = 13,577.63 : x
2. Step 2: Convert to fraction form
   10,150.31/13,577.63 = 13,577.63/x
3. Step 3: Cross multiply
   10,150.31x = 13,577.63 × 13,577.63
4. Step 4: Simplify right side
   10,150.31x = 184,351,900.64
5. Step 5: Solve for x
   x = 184,351,900.64/10,150.31
6. Step 6: Final answer
   x = 18,162.19