Finding the Third Proportional to 21,002 and 45,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,002 : 45,694.50 = 45,694.50 : x
2. Step 2: Convert to fraction form
   21,002/45,694.50 = 45,694.50/x
3. Step 3: Cross multiply
   21,002x = 45,694.50 × 45,694.50
4. Step 4: Simplify right side
   21,002x = 2,087,987,330.25
5. Step 5: Solve for x
   x = 2,087,987,330.25/21,002
6. Step 6: Final answer
   x = 99,418.50