Finding the Third Proportional to 901.69 and 1,256.34

Step by Step Solution

1. Step 1: Write the proportion equation
   901.69 : 1,256.34 = 1,256.34 : x
2. Step 2: Convert to fraction form
   901.69/1,256.34 = 1,256.34/x
3. Step 3: Cross multiply
   901.69x = 1,256.34 × 1,256.34
4. Step 4: Simplify right side
   901.69x = 1,578,399.62
5. Step 5: Solve for x
   x = 1,578,399.62/901.69
6. Step 6: Final answer
   x = 1,750.50