Finding the Third Proportional to 47,646 and 70,040

Step by Step Solution

1. Step 1: Write the proportion equation
   47,646 : 70,040 = 70,040 : x
2. Step 2: Convert to fraction form
   47,646/70,040 = 70,040/x
3. Step 3: Cross multiply
   47,646x = 70,040 × 70,040
4. Step 4: Simplify right side
   47,646x = 4,905,601,600
5. Step 5: Solve for x
   x = 4,905,601,600/47,646
6. Step 6: Final answer
   x = 102,959.36