Finding the Third Proportional to 3,506 and 5,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506 : 5,843.50 = 5,843.50 : x
2. Step 2: Convert to fraction form
   3,506/5,843.50 = 5,843.50/x
3. Step 3: Cross multiply
   3,506x = 5,843.50 × 5,843.50
4. Step 4: Simplify right side
   3,506x = 34,146,492.25
5. Step 5: Solve for x
   x = 34,146,492.25/3,506
6. Step 6: Final answer
   x = 9,739.44