Finding the Third Proportional to 1,621.69 and 1,770.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,621.69 : 1,770.19 = 1,770.19 : x
2. Step 2: Convert to fraction form
   1,621.69/1,770.19 = 1,770.19/x
3. Step 3: Cross multiply
   1,621.69x = 1,770.19 × 1,770.19
4. Step 4: Simplify right side
   1,621.69x = 3,133,563.79
5. Step 5: Solve for x
   x = 3,133,563.79/1,621.69
6. Step 6: Final answer
   x = 1,932.29