Finding the Third Proportional to 1,037.63 and 1,262.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.63 : 1,262.06 = 1,262.06 : x
2. Step 2: Convert to fraction form
   1,037.63/1,262.06 = 1,262.06/x
3. Step 3: Cross multiply
   1,037.63x = 1,262.06 × 1,262.06
4. Step 4: Simplify right side
   1,037.63x = 1,592,801.75
5. Step 5: Solve for x
   x = 1,592,801.75/1,037.63
6. Step 6: Final answer
   x = 1,535.05