Finding the Third Proportional to 21,224 and 46,139

Step by Step Solution

1. Step 1: Write the proportion equation
   21,224 : 46,139 = 46,139 : x
2. Step 2: Convert to fraction form
   21,224/46,139 = 46,139/x
3. Step 3: Cross multiply
   21,224x = 46,139 × 46,139
4. Step 4: Simplify right side
   21,224x = 2,128,807,321
5. Step 5: Solve for x
   x = 2,128,807,321/21,224
6. Step 6: Final answer
   x = 100,301.89