Finding the Third Proportional to 3,109.64 and 4,662.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.64 : 4,662.56 = 4,662.56 : x
2. Step 2: Convert to fraction form
   3,109.64/4,662.56 = 4,662.56/x
3. Step 3: Cross multiply
   3,109.64x = 4,662.56 × 4,662.56
4. Step 4: Simplify right side
   3,109.64x = 21,739,489.07
5. Step 5: Solve for x
   x = 21,739,489.07/3,109.64
6. Step 6: Final answer
   x = 6,991.00