Finding the Third Proportional to 1,451.81 and 2,264.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.81 : 2,264.34 = 2,264.34 : x
2. Step 2: Convert to fraction form
   1,451.81/2,264.34 = 2,264.34/x
3. Step 3: Cross multiply
   1,451.81x = 2,264.34 × 2,264.34
4. Step 4: Simplify right side
   1,451.81x = 5,127,252.62
5. Step 5: Solve for x
   x = 5,127,252.62/1,451.81
6. Step 6: Final answer
   x = 3,531.62