Finding the Third Proportional to 31,147 and 70,090

Step by Step Solution

1. Step 1: Write the proportion equation
   31,147 : 70,090 = 70,090 : x
2. Step 2: Convert to fraction form
   31,147/70,090 = 70,090/x
3. Step 3: Cross multiply
   31,147x = 70,090 × 70,090
4. Step 4: Simplify right side
   31,147x = 4,912,608,100
5. Step 5: Solve for x
   x = 4,912,608,100/31,147
6. Step 6: Final answer
   x = 157,723.32