Finding the Third Proportional to 10,422 and 22,380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 22,380.75 = 22,380.75 : x
2. Step 2: Convert to fraction form
   10,422/22,380.75 = 22,380.75/x
3. Step 3: Cross multiply
   10,422x = 22,380.75 × 22,380.75
4. Step 4: Simplify right side
   10,422x = 500,897,970.56
5. Step 5: Solve for x
   x = 500,897,970.56/10,422
6. Step 6: Final answer
   x = 48,061.60