Finding the Third Proportional to 1,566.21 and 2,428.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.21 : 2,428.10 = 2,428.10 : x
2. Step 2: Convert to fraction form
   1,566.21/2,428.10 = 2,428.10/x
3. Step 3: Cross multiply
   1,566.21x = 2,428.10 × 2,428.10
4. Step 4: Simplify right side
   1,566.21x = 5,895,677.20
5. Step 5: Solve for x
   x = 5,895,677.20/1,566.21
6. Step 6: Final answer
   x = 3,764.29