Finding the Third Proportional to 30,784 and 65,264

Step by Step Solution

1. Step 1: Write the proportion equation
   30,784 : 65,264 = 65,264 : x
2. Step 2: Convert to fraction form
   30,784/65,264 = 65,264/x
3. Step 3: Cross multiply
   30,784x = 65,264 × 65,264
4. Step 4: Simplify right side
   30,784x = 4,259,389,696
5. Step 5: Solve for x
   x = 4,259,389,696/30,784
6. Step 6: Final answer
   x = 138,363.75