Finding the Third Proportional to 16,896 and 35,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,896 : 35,977.50 = 35,977.50 : x
2. Step 2: Convert to fraction form
   16,896/35,977.50 = 35,977.50/x
3. Step 3: Cross multiply
   16,896x = 35,977.50 × 35,977.50
4. Step 4: Simplify right side
   16,896x = 1,294,380,506.25
5. Step 5: Solve for x
   x = 1,294,380,506.25/16,896
6. Step 6: Final answer
   x = 76,608.69