Finding the Third Proportional to 21,114 and 45,468

Step by Step Solution

1. Step 1: Write the proportion equation
   21,114 : 45,468 = 45,468 : x
2. Step 2: Convert to fraction form
   21,114/45,468 = 45,468/x
3. Step 3: Cross multiply
   21,114x = 45,468 × 45,468
4. Step 4: Simplify right side
   21,114x = 2,067,339,024
5. Step 5: Solve for x
   x = 2,067,339,024/21,114
6. Step 6: Final answer
   x = 97,913.19