Finding the Third Proportional to 47,649 and 70,047

Step by Step Solution

1. Step 1: Write the proportion equation
   47,649 : 70,047 = 70,047 : x
2. Step 2: Convert to fraction form
   47,649/70,047 = 70,047/x
3. Step 3: Cross multiply
   47,649x = 70,047 × 70,047
4. Step 4: Simplify right side
   47,649x = 4,906,582,209
5. Step 5: Solve for x
   x = 4,906,582,209/47,649
6. Step 6: Final answer
   x = 102,973.46