Finding the Third Proportional to 31,965 and 49,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,965 : 49,630.50 = 49,630.50 : x
2. Step 2: Convert to fraction form
   31,965/49,630.50 = 49,630.50/x
3. Step 3: Cross multiply
   31,965x = 49,630.50 × 49,630.50
4. Step 4: Simplify right side
   31,965x = 2,463,186,530.25
5. Step 5: Solve for x
   x = 2,463,186,530.25/31,965
6. Step 6: Final answer
   x = 77,058.86