Finding the Third Proportional to 21,188 and 46,264

Step by Step Solution

1. Step 1: Write the proportion equation
   21,188 : 46,264 = 46,264 : x
2. Step 2: Convert to fraction form
   21,188/46,264 = 46,264/x
3. Step 3: Cross multiply
   21,188x = 46,264 × 46,264
4. Step 4: Simplify right side
   21,188x = 2,140,357,696
5. Step 5: Solve for x
   x = 2,140,357,696/21,188
6. Step 6: Final answer
   x = 101,017.45