Finding the Third Proportional to 11,457 and 17,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,457 : 17,752.50 = 17,752.50 : x
2. Step 2: Convert to fraction form
   11,457/17,752.50 = 17,752.50/x
3. Step 3: Cross multiply
   11,457x = 17,752.50 × 17,752.50
4. Step 4: Simplify right side
   11,457x = 315,151,256.25
5. Step 5: Solve for x
   x = 315,151,256.25/11,457
6. Step 6: Final answer
   x = 27,507.31