Finding the Third Proportional to 31,970 and 47,091

Step by Step Solution

1. Step 1: Write the proportion equation
   31,970 : 47,091 = 47,091 : x
2. Step 2: Convert to fraction form
   31,970/47,091 = 47,091/x
3. Step 3: Cross multiply
   31,970x = 47,091 × 47,091
4. Step 4: Simplify right side
   31,970x = 2,217,562,281
5. Step 5: Solve for x
   x = 2,217,562,281/31,970
6. Step 6: Final answer
   x = 69,363.85