Finding the Third Proportional to 47,147 and 64,069

Step by Step Solution

1. Step 1: Write the proportion equation
   47,147 : 64,069 = 64,069 : x
2. Step 2: Convert to fraction form
   47,147/64,069 = 64,069/x
3. Step 3: Cross multiply
   47,147x = 64,069 × 64,069
4. Step 4: Simplify right side
   47,147x = 4,104,836,761
5. Step 5: Solve for x
   x = 4,104,836,761/47,147
6. Step 6: Final answer
   x = 87,064.64