Finding the Third Proportional to 1,523.50 and 2,705.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.50 : 2,705.27 = 2,705.27 : x
2. Step 2: Convert to fraction form
   1,523.50/2,705.27 = 2,705.27/x
3. Step 3: Cross multiply
   1,523.50x = 2,705.27 × 2,705.27
4. Step 4: Simplify right side
   1,523.50x = 7,318,504.37
5. Step 5: Solve for x
   x = 7,318,504.37/1,523.50
6. Step 6: Final answer
   x = 4,803.76