Finding the Third Proportional to 1,029 and 1,552.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029 : 1,552.31 = 1,552.31 : x
2. Step 2: Convert to fraction form
   1,029/1,552.31 = 1,552.31/x
3. Step 3: Cross multiply
   1,029x = 1,552.31 × 1,552.31
4. Step 4: Simplify right side
   1,029x = 2,409,674.10
5. Step 5: Solve for x
   x = 2,409,674.10/1,029
6. Step 6: Final answer
   x = 2,341.76