Finding the Third Proportional to 31,164 and 47,076

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 47,076 = 47,076 : x
2. Step 2: Convert to fraction form
   31,164/47,076 = 47,076/x
3. Step 3: Cross multiply
   31,164x = 47,076 × 47,076
4. Step 4: Simplify right side
   31,164x = 2,216,149,776
5. Step 5: Solve for x
   x = 2,216,149,776/31,164
6. Step 6: Final answer
   x = 71,112.49