Finding the Third Proportional to 21,464 and 45,826

Step by Step Solution

1. Step 1: Write the proportion equation
   21,464 : 45,826 = 45,826 : x
2. Step 2: Convert to fraction form
   21,464/45,826 = 45,826/x
3. Step 3: Cross multiply
   21,464x = 45,826 × 45,826
4. Step 4: Simplify right side
   21,464x = 2,100,022,276
5. Step 5: Solve for x
   x = 2,100,022,276/21,464
6. Step 6: Final answer
   x = 97,839.28