Finding the Third Proportional to 31,053 and 49,205

Step by Step Solution

1. Step 1: Write the proportion equation
   31,053 : 49,205 = 49,205 : x
2. Step 2: Convert to fraction form
   31,053/49,205 = 49,205/x
3. Step 3: Cross multiply
   31,053x = 49,205 × 49,205
4. Step 4: Simplify right side
   31,053x = 2,421,132,025
5. Step 5: Solve for x
   x = 2,421,132,025/31,053
6. Step 6: Final answer
   x = 77,967.73