Finding the Third Proportional to 1,429 and 1,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429 : 1,911.50 = 1,911.50 : x
2. Step 2: Convert to fraction form
   1,429/1,911.50 = 1,911.50/x
3. Step 3: Cross multiply
   1,429x = 1,911.50 × 1,911.50
4. Step 4: Simplify right side
   1,429x = 3,653,832.25
5. Step 5: Solve for x
   x = 3,653,832.25/1,429
6. Step 6: Final answer
   x = 2,556.92