Finding the Third Proportional to 1,564.69 and 2,421.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.69 : 2,421.94 = 2,421.94 : x
2. Step 2: Convert to fraction form
   1,564.69/2,421.94 = 2,421.94/x
3. Step 3: Cross multiply
   1,564.69x = 2,421.94 × 2,421.94
4. Step 4: Simplify right side
   1,564.69x = 5,865,781.25
5. Step 5: Solve for x
   x = 5,865,781.25/1,564.69
6. Step 6: Final answer
   x = 3,748.85