Finding the Third Proportional to 21,438 and 45,882

Step by Step Solution

1. Step 1: Write the proportion equation
   21,438 : 45,882 = 45,882 : x
2. Step 2: Convert to fraction form
   21,438/45,882 = 45,882/x
3. Step 3: Cross multiply
   21,438x = 45,882 × 45,882
4. Step 4: Simplify right side
   21,438x = 2,105,157,924
5. Step 5: Solve for x
   x = 2,105,157,924/21,438
6. Step 6: Final answer
   x = 98,197.50