Finding the Third Proportional to 39,533.50 and 61,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,533.50 : 61,568.50 = 61,568.50 : x
2. Step 2: Convert to fraction form
   39,533.50/61,568.50 = 61,568.50/x
3. Step 3: Cross multiply
   39,533.50x = 61,568.50 × 61,568.50
4. Step 4: Simplify right side
   39,533.50x = 3,790,680,192.25
5. Step 5: Solve for x
   x = 3,790,680,192.25/39,533.50
6. Step 6: Final answer
   x = 95,885.27