Finding the Third Proportional to 1,802.57 and 4,554.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.57 : 4,554.35 = 4,554.35 : x
2. Step 2: Convert to fraction form
   1,802.57/4,554.35 = 4,554.35/x
3. Step 3: Cross multiply
   1,802.57x = 4,554.35 × 4,554.35
4. Step 4: Simplify right side
   1,802.57x = 20,742,118.15
5. Step 5: Solve for x
   x = 20,742,118.15/1,802.57
6. Step 6: Final answer
   x = 11,506.99