Finding the Third Proportional to 31,818 and 47,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,818 : 47,184 = 47,184 : x
2. Step 2: Convert to fraction form
   31,818/47,184 = 47,184/x
3. Step 3: Cross multiply
   31,818x = 47,184 × 47,184
4. Step 4: Simplify right side
   31,818x = 2,226,329,856
5. Step 5: Solve for x
   x = 2,226,329,856/31,818
6. Step 6: Final answer
   x = 69,970.77