Finding the Third Proportional to 21,644 and 46,078

Step by Step Solution

1. Step 1: Write the proportion equation
   21,644 : 46,078 = 46,078 : x
2. Step 2: Convert to fraction form
   21,644/46,078 = 46,078/x
3. Step 3: Cross multiply
   21,644x = 46,078 × 46,078
4. Step 4: Simplify right side
   21,644x = 2,123,182,084
5. Step 5: Solve for x
   x = 2,123,182,084/21,644
6. Step 6: Final answer
   x = 98,095.64