Finding the Third Proportional to 11,378.25 and 23,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,378.25 : 23,323.50 = 23,323.50 : x
2. Step 2: Convert to fraction form
   11,378.25/23,323.50 = 23,323.50/x
3. Step 3: Cross multiply
   11,378.25x = 23,323.50 × 23,323.50
4. Step 4: Simplify right side
   11,378.25x = 543,985,652.25
5. Step 5: Solve for x
   x = 543,985,652.25/11,378.25
6. Step 6: Final answer
   x = 47,809.25