Finding the Third Proportional to 1,622.81 and 3,546.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,622.81 : 3,546.14 = 3,546.14 : x
2. Step 2: Convert to fraction form
   1,622.81/3,546.14 = 3,546.14/x
3. Step 3: Cross multiply
   1,622.81x = 3,546.14 × 3,546.14
4. Step 4: Simplify right side
   1,622.81x = 12,575,113.33
5. Step 5: Solve for x
   x = 12,575,113.33/1,622.81
6. Step 6: Final answer
   x = 7,748.96