Finding the Third Proportional to 1,046.25 and 1,407.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.25 : 1,407.38 = 1,407.38 : x
2. Step 2: Convert to fraction form
   1,046.25/1,407.38 = 1,407.38/x
3. Step 3: Cross multiply
   1,046.25x = 1,407.38 × 1,407.38
4. Step 4: Simplify right side
   1,046.25x = 1,980,704.39
5. Step 5: Solve for x
   x = 1,980,704.39/1,046.25
6. Step 6: Final answer
   x = 1,893.15