Finding the Third Proportional to 1,563.75 and 3,436.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563.75 : 3,436.88 = 3,436.88 : x
2. Step 2: Convert to fraction form
   1,563.75/3,436.88 = 3,436.88/x
3. Step 3: Cross multiply
   1,563.75x = 3,436.88 × 3,436.88
4. Step 4: Simplify right side
   1,563.75x = 11,812,109.77
5. Step 5: Solve for x
   x = 11,812,109.77/1,563.75
6. Step 6: Final answer
   x = 7,553.71