Finding the Third Proportional to 1,109.64 and 1,431.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.64 : 1,431.42 = 1,431.42 : x
2. Step 2: Convert to fraction form
   1,109.64/1,431.42 = 1,431.42/x
3. Step 3: Cross multiply
   1,109.64x = 1,431.42 × 1,431.42
4. Step 4: Simplify right side
   1,109.64x = 2,048,968.58
5. Step 5: Solve for x
   x = 2,048,968.58/1,109.64
6. Step 6: Final answer
   x = 1,846.52