Finding the Third Proportional to 1,509 and 2,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509 : 2,077.50 = 2,077.50 : x
2. Step 2: Convert to fraction form
   1,509/2,077.50 = 2,077.50/x
3. Step 3: Cross multiply
   1,509x = 2,077.50 × 2,077.50
4. Step 4: Simplify right side
   1,509x = 4,316,006.25
5. Step 5: Solve for x
   x = 4,316,006.25/1,509
6. Step 6: Final answer
   x = 2,860.18