Finding the Third Proportional to 947.50 and 1,796

Step by Step Solution

1. Step 1: Write the proportion equation
   947.50 : 1,796 = 1,796 : x
2. Step 2: Convert to fraction form
   947.50/1,796 = 1,796/x
3. Step 3: Cross multiply
   947.50x = 1,796 × 1,796
4. Step 4: Simplify right side
   947.50x = 3,225,616
5. Step 5: Solve for x
   x = 3,225,616/947.50
6. Step 6: Final answer
   x = 3,404.34