Finding the Third Proportional to 11,564 and 14,679.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 14,679.75 = 14,679.75 : x
2. Step 2: Convert to fraction form
   11,564/14,679.75 = 14,679.75/x
3. Step 3: Cross multiply
   11,564x = 14,679.75 × 14,679.75
4. Step 4: Simplify right side
   11,564x = 215,495,060.06
5. Step 5: Solve for x
   x = 215,495,060.06/11,564
6. Step 6: Final answer
   x = 18,634.99