Finding the Third Proportional to 947 and 2,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   947 : 2,005.50 = 2,005.50 : x
2. Step 2: Convert to fraction form
   947/2,005.50 = 2,005.50/x
3. Step 3: Cross multiply
   947x = 2,005.50 × 2,005.50
4. Step 4: Simplify right side
   947x = 4,022,030.25
5. Step 5: Solve for x
   x = 4,022,030.25/947
6. Step 6: Final answer
   x = 4,247.13