Finding the Third Proportional to 1,134.56 and 1,562.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,134.56 : 1,562.34 = 1,562.34 : x
2. Step 2: Convert to fraction form
   1,134.56/1,562.34 = 1,562.34/x
3. Step 3: Cross multiply
   1,134.56x = 1,562.34 × 1,562.34
4. Step 4: Simplify right side
   1,134.56x = 2,440,917.99
5. Step 5: Solve for x
   x = 2,440,917.99/1,134.56
6. Step 6: Final answer
   x = 2,151.42