Finding the Third Proportional to 21,200 and 45,968

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 45,968 = 45,968 : x
2. Step 2: Convert to fraction form
   21,200/45,968 = 45,968/x
3. Step 3: Cross multiply
   21,200x = 45,968 × 45,968
4. Step 4: Simplify right side
   21,200x = 2,113,057,024
5. Step 5: Solve for x
   x = 2,113,057,024/21,200
6. Step 6: Final answer
   x = 99,672.50