Finding the Third Proportional to 1,564.69 and 2,436.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.69 : 2,436.84 = 2,436.84 : x
2. Step 2: Convert to fraction form
   1,564.69/2,436.84 = 2,436.84/x
3. Step 3: Cross multiply
   1,564.69x = 2,436.84 × 2,436.84
4. Step 4: Simplify right side
   1,564.69x = 5,938,207.46
5. Step 5: Solve for x
   x = 5,938,207.46/1,564.69
6. Step 6: Final answer
   x = 3,795.14