Finding the Third Proportional to 31,145 and 47,090

Step by Step Solution

1. Step 1: Write the proportion equation
   31,145 : 47,090 = 47,090 : x
2. Step 2: Convert to fraction form
   31,145/47,090 = 47,090/x
3. Step 3: Cross multiply
   31,145x = 47,090 × 47,090
4. Step 4: Simplify right side
   31,145x = 2,217,468,100
5. Step 5: Solve for x
   x = 2,217,468,100/31,145
6. Step 6: Final answer
   x = 71,198.21