Finding the Third Proportional to 11,623.50 and 23,865

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623.50 : 23,865 = 23,865 : x
2. Step 2: Convert to fraction form
   11,623.50/23,865 = 23,865/x
3. Step 3: Cross multiply
   11,623.50x = 23,865 × 23,865
4. Step 4: Simplify right side
   11,623.50x = 569,538,225
5. Step 5: Solve for x
   x = 569,538,225/11,623.50
6. Step 6: Final answer
   x = 48,998.86