Finding the Third Proportional to 1,643.34 and 2,546.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.34 : 2,546.06 = 2,546.06 : x
2. Step 2: Convert to fraction form
   1,643.34/2,546.06 = 2,546.06/x
3. Step 3: Cross multiply
   1,643.34x = 2,546.06 × 2,546.06
4. Step 4: Simplify right side
   1,643.34x = 6,482,434.25
5. Step 5: Solve for x
   x = 6,482,434.25/1,643.34
6. Step 6: Final answer
   x = 3,944.66