Finding the Third Proportional to 1,247 and 1,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,247 : 1,773.50 = 1,773.50 : x
2. Step 2: Convert to fraction form
   1,247/1,773.50 = 1,773.50/x
3. Step 3: Cross multiply
   1,247x = 1,773.50 × 1,773.50
4. Step 4: Simplify right side
   1,247x = 3,145,302.25
5. Step 5: Solve for x
   x = 3,145,302.25/1,247
6. Step 6: Final answer
   x = 2,522.30