Finding the Third Proportional to 1,546.17 and 3,631.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.17 : 3,631.92 = 3,631.92 : x
2. Step 2: Convert to fraction form
   1,546.17/3,631.92 = 3,631.92/x
3. Step 3: Cross multiply
   1,546.17x = 3,631.92 × 3,631.92
4. Step 4: Simplify right side
   1,546.17x = 13,190,856.51
5. Step 5: Solve for x
   x = 13,190,856.51/1,546.17
6. Step 6: Final answer
   x = 8,531.30