Finding the Third Proportional to 29,821.50 and 65,171.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29,821.50 : 65,171.25 = 65,171.25 : x
2. Step 2: Convert to fraction form
   29,821.50/65,171.25 = 65,171.25/x
3. Step 3: Cross multiply
   29,821.50x = 65,171.25 × 65,171.25
4. Step 4: Simplify right side
   29,821.50x = 4,247,291,826.56
5. Step 5: Solve for x
   x = 4,247,291,826.56/29,821.50
6. Step 6: Final answer
   x = 142,423.82