Finding the Third Proportional to 42,584 and 65,364

Step by Step Solution

1. Step 1: Write the proportion equation
   42,584 : 65,364 = 65,364 : x
2. Step 2: Convert to fraction form
   42,584/65,364 = 65,364/x
3. Step 3: Cross multiply
   42,584x = 65,364 × 65,364
4. Step 4: Simplify right side
   42,584x = 4,272,452,496
5. Step 5: Solve for x
   x = 4,272,452,496/42,584
6. Step 6: Final answer
   x = 100,329.99