Finding the Third Proportional to 29,838 and 65,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29,838 : 65,885.25 = 65,885.25 : x
2. Step 2: Convert to fraction form
   29,838/65,885.25 = 65,885.25/x
3. Step 3: Cross multiply
   29,838x = 65,885.25 × 65,885.25
4. Step 4: Simplify right side
   29,838x = 4,340,866,167.56
5. Step 5: Solve for x
   x = 4,340,866,167.56/29,838
6. Step 6: Final answer
   x = 145,481.14