Finding the Third Proportional to 1,561.78 and 1,663.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.78 : 1,663.03 = 1,663.03 : x
2. Step 2: Convert to fraction form
   1,561.78/1,663.03 = 1,663.03/x
3. Step 3: Cross multiply
   1,561.78x = 1,663.03 × 1,663.03
4. Step 4: Simplify right side
   1,561.78x = 2,765,672.94
5. Step 5: Solve for x
   x = 2,765,672.94/1,561.78
6. Step 6: Final answer
   x = 1,770.85