Finding the Third Proportional to 1,546.31 and 2,354.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.31 : 2,354.91 = 2,354.91 : x
2. Step 2: Convert to fraction form
   1,546.31/2,354.91 = 2,354.91/x
3. Step 3: Cross multiply
   1,546.31x = 2,354.91 × 2,354.91
4. Step 4: Simplify right side
   1,546.31x = 5,545,583.45
5. Step 5: Solve for x
   x = 5,545,583.45/1,546.31
6. Step 6: Final answer
   x = 3,586.33