Finding the Third Proportional to 429.50 and 1,037

Step by Step Solution

1. Step 1: Write the proportion equation
   429.50 : 1,037 = 1,037 : x
2. Step 2: Convert to fraction form
   429.50/1,037 = 1,037/x
3. Step 3: Cross multiply
   429.50x = 1,037 × 1,037
4. Step 4: Simplify right side
   429.50x = 1,075,369
5. Step 5: Solve for x
   x = 1,075,369/429.50
6. Step 6: Final answer
   x = 2,503.77