Finding the Third Proportional to 29,714 and 65,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,714 : 65,259.50 = 65,259.50 : x
2. Step 2: Convert to fraction form
   29,714/65,259.50 = 65,259.50/x
3. Step 3: Cross multiply
   29,714x = 65,259.50 × 65,259.50
4. Step 4: Simplify right side
   29,714x = 4,258,802,340.25
5. Step 5: Solve for x
   x = 4,258,802,340.25/29,714
6. Step 6: Final answer
   x = 143,326.46