Finding the Third Proportional to 11,916.50 and 23,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,916.50 : 23,533.50 = 23,533.50 : x
2. Step 2: Convert to fraction form
   11,916.50/23,533.50 = 23,533.50/x
3. Step 3: Cross multiply
   11,916.50x = 23,533.50 × 23,533.50
4. Step 4: Simplify right side
   11,916.50x = 553,825,622.25
5. Step 5: Solve for x
   x = 553,825,622.25/11,916.50
6. Step 6: Final answer
   x = 46,475.53