Finding the Third Proportional to 1,770 and 2,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770 : 2,428.50 = 2,428.50 : x
2. Step 2: Convert to fraction form
   1,770/2,428.50 = 2,428.50/x
3. Step 3: Cross multiply
   1,770x = 2,428.50 × 2,428.50
4. Step 4: Simplify right side
   1,770x = 5,897,612.25
5. Step 5: Solve for x
   x = 5,897,612.25/1,770
6. Step 6: Final answer
   x = 3,331.98