Finding the Third Proportional to 21,119 and 45,513

Step by Step Solution

1. Step 1: Write the proportion equation
   21,119 : 45,513 = 45,513 : x
2. Step 2: Convert to fraction form
   21,119/45,513 = 45,513/x
3. Step 3: Cross multiply
   21,119x = 45,513 × 45,513
4. Step 4: Simplify right side
   21,119x = 2,071,433,169
5. Step 5: Solve for x
   x = 2,071,433,169/21,119
6. Step 6: Final answer
   x = 98,083.87