Finding the Third Proportional to 19,977 and 33,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,977 : 33,037.50 = 33,037.50 : x
2. Step 2: Convert to fraction form
   19,977/33,037.50 = 33,037.50/x
3. Step 3: Cross multiply
   19,977x = 33,037.50 × 33,037.50
4. Step 4: Simplify right side
   19,977x = 1,091,476,406.25
5. Step 5: Solve for x
   x = 1,091,476,406.25/19,977
6. Step 6: Final answer
   x = 54,636.65