Finding the Third Proportional to 3,645 and 5,654.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,645 : 5,654.81 = 5,654.81 : x
2. Step 2: Convert to fraction form
   3,645/5,654.81 = 5,654.81/x
3. Step 3: Cross multiply
   3,645x = 5,654.81 × 5,654.81
4. Step 4: Simplify right side
   3,645x = 31,976,904.41
5. Step 5: Solve for x
   x = 31,976,904.41/3,645
6. Step 6: Final answer
   x = 8,772.81