Finding the Third Proportional to 1,480 and 3,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,480 : 3,111.50 = 3,111.50 : x
2. Step 2: Convert to fraction form
   1,480/3,111.50 = 3,111.50/x
3. Step 3: Cross multiply
   1,480x = 3,111.50 × 3,111.50
4. Step 4: Simplify right side
   1,480x = 9,681,432.25
5. Step 5: Solve for x
   x = 9,681,432.25/1,480
6. Step 6: Final answer
   x = 6,541.51