Finding the Third Proportional to 31,815 and 49,532

Step by Step Solution

1. Step 1: Write the proportion equation
   31,815 : 49,532 = 49,532 : x
2. Step 2: Convert to fraction form
   31,815/49,532 = 49,532/x
3. Step 3: Cross multiply
   31,815x = 49,532 × 49,532
4. Step 4: Simplify right side
   31,815x = 2,453,419,024
5. Step 5: Solve for x
   x = 2,453,419,024/31,815
6. Step 6: Final answer
   x = 77,115.17