Finding the Third Proportional to 11,364 and 23,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,364 : 23,291.50 = 23,291.50 : x
2. Step 2: Convert to fraction form
   11,364/23,291.50 = 23,291.50/x
3. Step 3: Cross multiply
   11,364x = 23,291.50 × 23,291.50
4. Step 4: Simplify right side
   11,364x = 542,493,972.25
5. Step 5: Solve for x
   x = 542,493,972.25/11,364
6. Step 6: Final answer
   x = 47,737.94