Finding the Third Proportional to 21,714 and 47,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,714 : 47,329.50 = 47,329.50 : x
2. Step 2: Convert to fraction form
   21,714/47,329.50 = 47,329.50/x
3. Step 3: Cross multiply
   21,714x = 47,329.50 × 47,329.50
4. Step 4: Simplify right side
   21,714x = 2,240,081,570.25
5. Step 5: Solve for x
   x = 2,240,081,570.25/21,714
6. Step 6: Final answer
   x = 103,163.01