Finding the Third Proportional to 1,100.06 and 1,427.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.06 : 1,427.91 = 1,427.91 : x
2. Step 2: Convert to fraction form
   1,100.06/1,427.91 = 1,427.91/x
3. Step 3: Cross multiply
   1,100.06x = 1,427.91 × 1,427.91
4. Step 4: Simplify right side
   1,100.06x = 2,038,916.26
5. Step 5: Solve for x
   x = 2,038,916.26/1,100.06
6. Step 6: Final answer
   x = 1,853.45