Finding the Third Proportional to 1,546.50 and 2,333.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.50 : 2,333.06 = 2,333.06 : x
2. Step 2: Convert to fraction form
   1,546.50/2,333.06 = 2,333.06/x
3. Step 3: Cross multiply
   1,546.50x = 2,333.06 × 2,333.06
4. Step 4: Simplify right side
   1,546.50x = 5,443,180.63
5. Step 5: Solve for x
   x = 5,443,180.63/1,546.50
6. Step 6: Final answer
   x = 3,519.68