Finding the Third Proportional to 4,592.06 and 9,581.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,592.06 : 9,581.63 = 9,581.63 : x
2. Step 2: Convert to fraction form
   4,592.06/9,581.63 = 9,581.63/x
3. Step 3: Cross multiply
   4,592.06x = 9,581.63 × 9,581.63
4. Step 4: Simplify right side
   4,592.06x = 91,807,537.64
5. Step 5: Solve for x
   x = 91,807,537.64/4,592.06
6. Step 6: Final answer
   x = 19,992.66