Finding the Third Proportional to 1,460 and 2,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460 : 2,184.50 = 2,184.50 : x
2. Step 2: Convert to fraction form
   1,460/2,184.50 = 2,184.50/x
3. Step 3: Cross multiply
   1,460x = 2,184.50 × 2,184.50
4. Step 4: Simplify right side
   1,460x = 4,772,040.25
5. Step 5: Solve for x
   x = 4,772,040.25/1,460
6. Step 6: Final answer
   x = 3,268.52