Finding the Third Proportional to 20,123 and 32,223

Step by Step Solution

1. Step 1: Write the proportion equation
   20,123 : 32,223 = 32,223 : x
2. Step 2: Convert to fraction form
   20,123/32,223 = 32,223/x
3. Step 3: Cross multiply
   20,123x = 32,223 × 32,223
4. Step 4: Simplify right side
   20,123x = 1,038,321,729
5. Step 5: Solve for x
   x = 1,038,321,729/20,123
6. Step 6: Final answer
   x = 51,598.75