Finding the Third Proportional to 42,784 and 66,504

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784 : 66,504 = 66,504 : x
2. Step 2: Convert to fraction form
   42,784/66,504 = 66,504/x
3. Step 3: Cross multiply
   42,784x = 66,504 × 66,504
4. Step 4: Simplify right side
   42,784x = 4,422,782,016
5. Step 5: Solve for x
   x = 4,422,782,016/42,784
6. Step 6: Final answer
   x = 103,374.67