Finding the Third Proportional to 31,782 and 47,132

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 47,132 = 47,132 : x
2. Step 2: Convert to fraction form
   31,782/47,132 = 47,132/x
3. Step 3: Cross multiply
   31,782x = 47,132 × 47,132
4. Step 4: Simplify right side
   31,782x = 2,221,425,424
5. Step 5: Solve for x
   x = 2,221,425,424/31,782
6. Step 6: Final answer
   x = 69,895.71