Finding the Third Proportional to 47,964 and 71,454

Step by Step Solution

1. Step 1: Write the proportion equation
   47,964 : 71,454 = 71,454 : x
2. Step 2: Convert to fraction form
   47,964/71,454 = 71,454/x
3. Step 3: Cross multiply
   47,964x = 71,454 × 71,454
4. Step 4: Simplify right side
   47,964x = 5,105,674,116
5. Step 5: Solve for x
   x = 5,105,674,116/47,964
6. Step 6: Final answer
   x = 106,448.05