Finding the Third Proportional to 31,459.50 and 48,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,459.50 : 48,769.50 = 48,769.50 : x
2. Step 2: Convert to fraction form
   31,459.50/48,769.50 = 48,769.50/x
3. Step 3: Cross multiply
   31,459.50x = 48,769.50 × 48,769.50
4. Step 4: Simplify right side
   31,459.50x = 2,378,464,130.25
5. Step 5: Solve for x
   x = 2,378,464,130.25/31,459.50
6. Step 6: Final answer
   x = 75,604.00