Finding the Third Proportional to 1,564.75 and 2,436.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.75 : 2,436.88 = 2,436.88 : x
2. Step 2: Convert to fraction form
   1,564.75/2,436.88 = 2,436.88/x
3. Step 3: Cross multiply
   1,564.75x = 2,436.88 × 2,436.88
4. Step 4: Simplify right side
   1,564.75x = 5,938,359.77
5. Step 5: Solve for x
   x = 5,938,359.77/1,564.75
6. Step 6: Final answer
   x = 3,795.09