Finding the Third Proportional to 11,688.75 and 17,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.75 : 17,777.25 = 17,777.25 : x
2. Step 2: Convert to fraction form
   11,688.75/17,777.25 = 17,777.25/x
3. Step 3: Cross multiply
   11,688.75x = 17,777.25 × 17,777.25
4. Step 4: Simplify right side
   11,688.75x = 316,030,617.56
5. Step 5: Solve for x
   x = 316,030,617.56/11,688.75
6. Step 6: Final answer
   x = 27,037.16