Finding the Third Proportional to 22,664 and 49,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 49,093.50 = 49,093.50 : x
2. Step 2: Convert to fraction form
   22,664/49,093.50 = 49,093.50/x
3. Step 3: Cross multiply
   22,664x = 49,093.50 × 49,093.50
4. Step 4: Simplify right side
   22,664x = 2,410,171,742.25
5. Step 5: Solve for x
   x = 2,410,171,742.25/22,664
6. Step 6: Final answer
   x = 106,343.62