Finding the Third Proportional to 31,356 and 49,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,356 : 49,180.50 = 49,180.50 : x
2. Step 2: Convert to fraction form
   31,356/49,180.50 = 49,180.50/x
3. Step 3: Cross multiply
   31,356x = 49,180.50 × 49,180.50
4. Step 4: Simplify right side
   31,356x = 2,418,721,580.25
5. Step 5: Solve for x
   x = 2,418,721,580.25/31,356
6. Step 6: Final answer
   x = 77,137.44