Finding the Third Proportional to 31,281 and 48,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,281 : 48,505.50 = 48,505.50 : x
2. Step 2: Convert to fraction form
   31,281/48,505.50 = 48,505.50/x
3. Step 3: Cross multiply
   31,281x = 48,505.50 × 48,505.50
4. Step 4: Simplify right side
   31,281x = 2,352,783,530.25
5. Step 5: Solve for x
   x = 2,352,783,530.25/31,281
6. Step 6: Final answer
   x = 75,214.46