Finding the Third Proportional to 1,216 and 1,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216 : 1,880.50 = 1,880.50 : x
2. Step 2: Convert to fraction form
   1,216/1,880.50 = 1,880.50/x
3. Step 3: Cross multiply
   1,216x = 1,880.50 × 1,880.50
4. Step 4: Simplify right side
   1,216x = 3,536,280.25
5. Step 5: Solve for x
   x = 3,536,280.25/1,216
6. Step 6: Final answer
   x = 2,908.13