Finding the Third Proportional to 31,764 and 49,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 49,459.50 = 49,459.50 : x
2. Step 2: Convert to fraction form
   31,764/49,459.50 = 49,459.50/x
3. Step 3: Cross multiply
   31,764x = 49,459.50 × 49,459.50
4. Step 4: Simplify right side
   31,764x = 2,446,242,140.25
5. Step 5: Solve for x
   x = 2,446,242,140.25/31,764
6. Step 6: Final answer
   x = 77,013.04