Finding the Third Proportional to 32,786 and 49,570

Step by Step Solution

1. Step 1: Write the proportion equation
   32,786 : 49,570 = 49,570 : x
2. Step 2: Convert to fraction form
   32,786/49,570 = 49,570/x
3. Step 3: Cross multiply
   32,786x = 49,570 × 49,570
4. Step 4: Simplify right side
   32,786x = 2,457,184,900
5. Step 5: Solve for x
   x = 2,457,184,900/32,786
6. Step 6: Final answer
   x = 74,946.16