Finding the Third Proportional to 1,029.94 and 1,553.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.94 : 1,553.81 = 1,553.81 : x
2. Step 2: Convert to fraction form
   1,029.94/1,553.81 = 1,553.81/x
3. Step 3: Cross multiply
   1,029.94x = 1,553.81 × 1,553.81
4. Step 4: Simplify right side
   1,029.94x = 2,414,333.29
5. Step 5: Solve for x
   x = 2,414,333.29/1,029.94
6. Step 6: Final answer
   x = 2,344.16