Finding the Third Proportional to 9,005.77 and 19,568.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.77 : 19,568.88 = 19,568.88 : x
2. Step 2: Convert to fraction form
   9,005.77/19,568.88 = 19,568.88/x
3. Step 3: Cross multiply
   9,005.77x = 19,568.88 × 19,568.88
4. Step 4: Simplify right side
   9,005.77x = 382,941,174.53
5. Step 5: Solve for x
   x = 382,941,174.53/9,005.77
6. Step 6: Final answer
   x = 42,521.78