Finding the Third Proportional to 31,112 and 47,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,112 : 47,316 = 47,316 : x
2. Step 2: Convert to fraction form
   31,112/47,316 = 47,316/x
3. Step 3: Cross multiply
   31,112x = 47,316 × 47,316
4. Step 4: Simplify right side
   31,112x = 2,238,803,856
5. Step 5: Solve for x
   x = 2,238,803,856/31,112
6. Step 6: Final answer
   x = 71,959.50