Finding the Third Proportional to 21,680 and 46,292

Step by Step Solution

1. Step 1: Write the proportion equation
   21,680 : 46,292 = 46,292 : x
2. Step 2: Convert to fraction form
   21,680/46,292 = 46,292/x
3. Step 3: Cross multiply
   21,680x = 46,292 × 46,292
4. Step 4: Simplify right side
   21,680x = 2,142,949,264
5. Step 5: Solve for x
   x = 2,142,949,264/21,680
6. Step 6: Final answer
   x = 98,844.52