Finding the Third Proportional to 901.69 and 2,078.72

Step by Step Solution

1. Step 1: Write the proportion equation
   901.69 : 2,078.72 = 2,078.72 : x
2. Step 2: Convert to fraction form
   901.69/2,078.72 = 2,078.72/x
3. Step 3: Cross multiply
   901.69x = 2,078.72 × 2,078.72
4. Step 4: Simplify right side
   901.69x = 4,321,071.64
5. Step 5: Solve for x
   x = 4,321,071.64/901.69
6. Step 6: Final answer
   x = 4,792.21