Finding the Third Proportional to 21,336 and 46,416

Step by Step Solution

1. Step 1: Write the proportion equation
   21,336 : 46,416 = 46,416 : x
2. Step 2: Convert to fraction form
   21,336/46,416 = 46,416/x
3. Step 3: Cross multiply
   21,336x = 46,416 × 46,416
4. Step 4: Simplify right side
   21,336x = 2,154,445,056
5. Step 5: Solve for x
   x = 2,154,445,056/21,336
6. Step 6: Final answer
   x = 100,976.99