Finding the Third Proportional to 10,094 and 22,132

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094 : 22,132 = 22,132 : x
2. Step 2: Convert to fraction form
   10,094/22,132 = 22,132/x
3. Step 3: Cross multiply
   10,094x = 22,132 × 22,132
4. Step 4: Simplify right side
   10,094x = 489,825,424
5. Step 5: Solve for x
   x = 489,825,424/10,094
6. Step 6: Final answer
   x = 48,526.39