Finding the Third Proportional to 563 and 1,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   563 : 1,272.50 = 1,272.50 : x
2. Step 2: Convert to fraction form
   563/1,272.50 = 1,272.50/x
3. Step 3: Cross multiply
   563x = 1,272.50 × 1,272.50
4. Step 4: Simplify right side
   563x = 1,619,256.25
5. Step 5: Solve for x
   x = 1,619,256.25/563
6. Step 6: Final answer
   x = 2,876.12