Finding the Third Proportional to 31,493 and 47,158

Step by Step Solution

1. Step 1: Write the proportion equation
   31,493 : 47,158 = 47,158 : x
2. Step 2: Convert to fraction form
   31,493/47,158 = 47,158/x
3. Step 3: Cross multiply
   31,493x = 47,158 × 47,158
4. Step 4: Simplify right side
   31,493x = 2,223,876,964
5. Step 5: Solve for x
   x = 2,223,876,964/31,493
6. Step 6: Final answer
   x = 70,614.96