Finding the Third Proportional to 7,012.50 and 7,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,012.50 : 7,633.50 = 7,633.50 : x
2. Step 2: Convert to fraction form
   7,012.50/7,633.50 = 7,633.50/x
3. Step 3: Cross multiply
   7,012.50x = 7,633.50 × 7,633.50
4. Step 4: Simplify right side
   7,012.50x = 58,270,322.25
5. Step 5: Solve for x
   x = 58,270,322.25/7,012.50
6. Step 6: Final answer
   x = 8,309.49