Finding the Third Proportional to 47,691 and 70,077

Step by Step Solution

1. Step 1: Write the proportion equation
   47,691 : 70,077 = 70,077 : x
2. Step 2: Convert to fraction form
   47,691/70,077 = 70,077/x
3. Step 3: Cross multiply
   47,691x = 70,077 × 70,077
4. Step 4: Simplify right side
   47,691x = 4,910,785,929
5. Step 5: Solve for x
   x = 4,910,785,929/47,691
6. Step 6: Final answer
   x = 102,970.92