Finding the Third Proportional to 1,429 and 2,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429 : 2,736.50 = 2,736.50 : x
2. Step 2: Convert to fraction form
   1,429/2,736.50 = 2,736.50/x
3. Step 3: Cross multiply
   1,429x = 2,736.50 × 2,736.50
4. Step 4: Simplify right side
   1,429x = 7,488,432.25
5. Step 5: Solve for x
   x = 7,488,432.25/1,429
6. Step 6: Final answer
   x = 5,240.33