Finding the Third Proportional to 21,374 and 45,664

Step by Step Solution

1. Step 1: Write the proportion equation
   21,374 : 45,664 = 45,664 : x
2. Step 2: Convert to fraction form
   21,374/45,664 = 45,664/x
3. Step 3: Cross multiply
   21,374x = 45,664 × 45,664
4. Step 4: Simplify right side
   21,374x = 2,085,200,896
5. Step 5: Solve for x
   x = 2,085,200,896/21,374
6. Step 6: Final answer
   x = 97,557.82