Finding the Third Proportional to 47,290 and 70,598

Step by Step Solution

1. Step 1: Write the proportion equation
   47,290 : 70,598 = 70,598 : x
2. Step 2: Convert to fraction form
   47,290/70,598 = 70,598/x
3. Step 3: Cross multiply
   47,290x = 70,598 × 70,598
4. Step 4: Simplify right side
   47,290x = 4,984,077,604
5. Step 5: Solve for x
   x = 4,984,077,604/47,290
6. Step 6: Final answer
   x = 105,393.90