Finding the Third Proportional to 2,786 and 5,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786 : 5,801.50 = 5,801.50 : x
2. Step 2: Convert to fraction form
   2,786/5,801.50 = 5,801.50/x
3. Step 3: Cross multiply
   2,786x = 5,801.50 × 5,801.50
4. Step 4: Simplify right side
   2,786x = 33,657,402.25
5. Step 5: Solve for x
   x = 33,657,402.25/2,786
6. Step 6: Final answer
   x = 12,080.91