Finding the Third Proportional to 1,056.38 and 1,537.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.38 : 1,537.31 = 1,537.31 : x
2. Step 2: Convert to fraction form
   1,056.38/1,537.31 = 1,537.31/x
3. Step 3: Cross multiply
   1,056.38x = 1,537.31 × 1,537.31
4. Step 4: Simplify right side
   1,056.38x = 2,363,329.72
5. Step 5: Solve for x
   x = 2,363,329.72/1,056.38
6. Step 6: Final answer
   x = 2,237.21