Finding the Third Proportional to 11,516.25 and 17,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,516.25 : 17,783.25 = 17,783.25 : x
2. Step 2: Convert to fraction form
   11,516.25/17,783.25 = 17,783.25/x
3. Step 3: Cross multiply
   11,516.25x = 17,783.25 × 17,783.25
4. Step 4: Simplify right side
   11,516.25x = 316,243,980.56
5. Step 5: Solve for x
   x = 316,243,980.56/11,516.25
6. Step 6: Final answer
   x = 27,460.67