Finding the Third Proportional to 31,164 and 47,070

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 47,070 = 47,070 : x
2. Step 2: Convert to fraction form
   31,164/47,070 = 47,070/x
3. Step 3: Cross multiply
   31,164x = 47,070 × 47,070
4. Step 4: Simplify right side
   31,164x = 2,215,584,900
5. Step 5: Solve for x
   x = 2,215,584,900/31,164
6. Step 6: Final answer
   x = 71,094.37