Finding the Third Proportional to 33,007.50 and 64,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,007.50 : 64,381.50 = 64,381.50 : x
2. Step 2: Convert to fraction form
   33,007.50/64,381.50 = 64,381.50/x
3. Step 3: Cross multiply
   33,007.50x = 64,381.50 × 64,381.50
4. Step 4: Simplify right side
   33,007.50x = 4,144,977,542.25
5. Step 5: Solve for x
   x = 4,144,977,542.25/33,007.50
6. Step 6: Final answer
   x = 125,576.84