Finding the Third Proportional to 10,801.25 and 17,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,801.25 : 17,637.50 = 17,637.50 : x
2. Step 2: Convert to fraction form
   10,801.25/17,637.50 = 17,637.50/x
3. Step 3: Cross multiply
   10,801.25x = 17,637.50 × 17,637.50
4. Step 4: Simplify right side
   10,801.25x = 311,081,406.25
5. Step 5: Solve for x
   x = 311,081,406.25/10,801.25
6. Step 6: Final answer
   x = 28,800.50