Finding the Third Proportional to 969.50 and 2,111

Step by Step Solution

1. Step 1: Write the proportion equation
   969.50 : 2,111 = 2,111 : x
2. Step 2: Convert to fraction form
   969.50/2,111 = 2,111/x
3. Step 3: Cross multiply
   969.50x = 2,111 × 2,111
4. Step 4: Simplify right side
   969.50x = 4,456,321
5. Step 5: Solve for x
   x = 4,456,321/969.50
6. Step 6: Final answer
   x = 4,596.51