Finding the Third Proportional to 1,705.50 and 2,546.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.50 : 2,546.63 = 2,546.63 : x
2. Step 2: Convert to fraction form
   1,705.50/2,546.63 = 2,546.63/x
3. Step 3: Cross multiply
   1,705.50x = 2,546.63 × 2,546.63
4. Step 4: Simplify right side
   1,705.50x = 6,485,298.89
5. Step 5: Solve for x
   x = 6,485,298.89/1,705.50
6. Step 6: Final answer
   x = 3,802.58