Finding the Third Proportional to 21,153 and 45,842

Step by Step Solution

1. Step 1: Write the proportion equation
   21,153 : 45,842 = 45,842 : x
2. Step 2: Convert to fraction form
   21,153/45,842 = 45,842/x
3. Step 3: Cross multiply
   21,153x = 45,842 × 45,842
4. Step 4: Simplify right side
   21,153x = 2,101,488,964
5. Step 5: Solve for x
   x = 2,101,488,964/21,153
6. Step 6: Final answer
   x = 99,347.09