Finding the Third Proportional to 3,645 and 5,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,645 : 5,710.50 = 5,710.50 : x
2. Step 2: Convert to fraction form
   3,645/5,710.50 = 5,710.50/x
3. Step 3: Cross multiply
   3,645x = 5,710.50 × 5,710.50
4. Step 4: Simplify right side
   3,645x = 32,609,810.25
5. Step 5: Solve for x
   x = 32,609,810.25/3,645
6. Step 6: Final answer
   x = 8,946.45