Finding the Third Proportional to 1,106.31 and 1,501.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.31 : 1,501.43 = 1,501.43 : x
2. Step 2: Convert to fraction form
   1,106.31/1,501.43 = 1,501.43/x
3. Step 3: Cross multiply
   1,106.31x = 1,501.43 × 1,501.43
4. Step 4: Simplify right side
   1,106.31x = 2,254,282.31
5. Step 5: Solve for x
   x = 2,254,282.31/1,106.31
6. Step 6: Final answer
   x = 2,037.65