Finding the Third Proportional to 2,637.50 and 5,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,637.50 : 5,666.25 = 5,666.25 : x
2. Step 2: Convert to fraction form
   2,637.50/5,666.25 = 5,666.25/x
3. Step 3: Cross multiply
   2,637.50x = 5,666.25 × 5,666.25
4. Step 4: Simplify right side
   2,637.50x = 32,106,389.06
5. Step 5: Solve for x
   x = 32,106,389.06/2,637.50
6. Step 6: Final answer
   x = 12,173.04