Finding the Third Proportional to 16,584 and 35,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 35,821.50 = 35,821.50 : x
2. Step 2: Convert to fraction form
   16,584/35,821.50 = 35,821.50/x
3. Step 3: Cross multiply
   16,584x = 35,821.50 × 35,821.50
4. Step 4: Simplify right side
   16,584x = 1,283,179,862.25
5. Step 5: Solve for x
   x = 1,283,179,862.25/16,584
6. Step 6: Final answer
   x = 77,374.57