Finding the Third Proportional to 14,646 and 32,570

Step by Step Solution

1. Step 1: Write the proportion equation
   14,646 : 32,570 = 32,570 : x
2. Step 2: Convert to fraction form
   14,646/32,570 = 32,570/x
3. Step 3: Cross multiply
   14,646x = 32,570 × 32,570
4. Step 4: Simplify right side
   14,646x = 1,060,804,900
5. Step 5: Solve for x
   x = 1,060,804,900/14,646
6. Step 6: Final answer
   x = 72,429.67