Finding the Third Proportional to 17,577 and 21,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 21,361.50 = 21,361.50 : x
2. Step 2: Convert to fraction form
   17,577/21,361.50 = 21,361.50/x
3. Step 3: Cross multiply
   17,577x = 21,361.50 × 21,361.50
4. Step 4: Simplify right side
   17,577x = 456,313,682.25
5. Step 5: Solve for x
   x = 456,313,682.25/17,577
6. Step 6: Final answer
   x = 25,960.84