Finding the Third Proportional to 29,781 and 65,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,781 : 65,488.50 = 65,488.50 : x
2. Step 2: Convert to fraction form
   29,781/65,488.50 = 65,488.50/x
3. Step 3: Cross multiply
   29,781x = 65,488.50 × 65,488.50
4. Step 4: Simplify right side
   29,781x = 4,288,743,632.25
5. Step 5: Solve for x
   x = 4,288,743,632.25/29,781
6. Step 6: Final answer
   x = 144,009.39