Finding the Third Proportional to 21,680 and 46,595

Step by Step Solution

1. Step 1: Write the proportion equation
   21,680 : 46,595 = 46,595 : x
2. Step 2: Convert to fraction form
   21,680/46,595 = 46,595/x
3. Step 3: Cross multiply
   21,680x = 46,595 × 46,595
4. Step 4: Simplify right side
   21,680x = 2,171,094,025
5. Step 5: Solve for x
   x = 2,171,094,025/21,680
6. Step 6: Final answer
   x = 100,142.71