Finding the Third Proportional to 48,465 and 65,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,465 : 65,464.50 = 65,464.50 : x
2. Step 2: Convert to fraction form
   48,465/65,464.50 = 65,464.50/x
3. Step 3: Cross multiply
   48,465x = 65,464.50 × 65,464.50
4. Step 4: Simplify right side
   48,465x = 4,285,600,760.25
5. Step 5: Solve for x
   x = 4,285,600,760.25/48,465
6. Step 6: Final answer
   x = 88,426.72