Finding the Third Proportional to 10,383.75 and 15,588.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,383.75 : 15,588.56 = 15,588.56 : x
2. Step 2: Convert to fraction form
   10,383.75/15,588.56 = 15,588.56/x
3. Step 3: Cross multiply
   10,383.75x = 15,588.56 × 15,588.56
4. Step 4: Simplify right side
   10,383.75x = 243,003,280.82
5. Step 5: Solve for x
   x = 243,003,280.82/10,383.75
6. Step 6: Final answer
   x = 23,402.27