Finding the Third Proportional to 21,280 and 46,592

Step by Step Solution

1. Step 1: Write the proportion equation
   21,280 : 46,592 = 46,592 : x
2. Step 2: Convert to fraction form
   21,280/46,592 = 46,592/x
3. Step 3: Cross multiply
   21,280x = 46,592 × 46,592
4. Step 4: Simplify right side
   21,280x = 2,170,814,464
5. Step 5: Solve for x
   x = 2,170,814,464/21,280
6. Step 6: Final answer
   x = 102,011.96