Finding the Third Proportional to 33,012.50 and 64,371.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,012.50 : 64,371.25 = 64,371.25 : x
2. Step 2: Convert to fraction form
   33,012.50/64,371.25 = 64,371.25/x
3. Step 3: Cross multiply
   33,012.50x = 64,371.25 × 64,371.25
4. Step 4: Simplify right side
   33,012.50x = 4,143,657,826.56
5. Step 5: Solve for x
   x = 4,143,657,826.56/33,012.50
6. Step 6: Final answer
   x = 125,517.84