Finding the Third Proportional to 11,696 and 22,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696 : 22,313.50 = 22,313.50 : x
2. Step 2: Convert to fraction form
   11,696/22,313.50 = 22,313.50/x
3. Step 3: Cross multiply
   11,696x = 22,313.50 × 22,313.50
4. Step 4: Simplify right side
   11,696x = 497,892,282.25
5. Step 5: Solve for x
   x = 497,892,282.25/11,696
6. Step 6: Final answer
   x = 42,569.45