Finding the Third Proportional to 22,664 and 48,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 48,931.50 = 48,931.50 : x
2. Step 2: Convert to fraction form
   22,664/48,931.50 = 48,931.50/x
3. Step 3: Cross multiply
   22,664x = 48,931.50 × 48,931.50
4. Step 4: Simplify right side
   22,664x = 2,394,291,692.25
5. Step 5: Solve for x
   x = 2,394,291,692.25/22,664
6. Step 6: Final answer
   x = 105,642.94