Finding the Third Proportional to 47,582 and 70,822

Step by Step Solution

1. Step 1: Write the proportion equation
   47,582 : 70,822 = 70,822 : x
2. Step 2: Convert to fraction form
   47,582/70,822 = 70,822/x
3. Step 3: Cross multiply
   47,582x = 70,822 × 70,822
4. Step 4: Simplify right side
   47,582x = 5,015,755,684
5. Step 5: Solve for x
   x = 5,015,755,684/47,582
6. Step 6: Final answer
   x = 105,412.88