Finding the Third Proportional to 31,059 and 48,434

Step by Step Solution

1. Step 1: Write the proportion equation
   31,059 : 48,434 = 48,434 : x
2. Step 2: Convert to fraction form
   31,059/48,434 = 48,434/x
3. Step 3: Cross multiply
   31,059x = 48,434 × 48,434
4. Step 4: Simplify right side
   31,059x = 2,345,852,356
5. Step 5: Solve for x
   x = 2,345,852,356/31,059
6. Step 6: Final answer
   x = 75,528.91