Finding the Third Proportional to 48,105 and 65,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,105 : 65,533.50 = 65,533.50 : x
2. Step 2: Convert to fraction form
   48,105/65,533.50 = 65,533.50/x
3. Step 3: Cross multiply
   48,105x = 65,533.50 × 65,533.50
4. Step 4: Simplify right side
   48,105x = 4,294,639,622.25
5. Step 5: Solve for x
   x = 4,294,639,622.25/48,105
6. Step 6: Final answer
   x = 89,276.37