Finding the Third Proportional to 42,784 and 65,846

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784 : 65,846 = 65,846 : x
2. Step 2: Convert to fraction form
   42,784/65,846 = 65,846/x
3. Step 3: Cross multiply
   42,784x = 65,846 × 65,846
4. Step 4: Simplify right side
   42,784x = 4,335,695,716
5. Step 5: Solve for x
   x = 4,335,695,716/42,784
6. Step 6: Final answer
   x = 101,339.19