Finding the Third Proportional to 14,537.50 and 23,057.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,537.50 : 23,057.25 = 23,057.25 : x
2. Step 2: Convert to fraction form
   14,537.50/23,057.25 = 23,057.25/x
3. Step 3: Cross multiply
   14,537.50x = 23,057.25 × 23,057.25
4. Step 4: Simplify right side
   14,537.50x = 531,636,777.56
5. Step 5: Solve for x
   x = 531,636,777.56/14,537.50
6. Step 6: Final answer
   x = 36,570.03