Finding the Third Proportional to 13,460 and 32,570

Step by Step Solution

1. Step 1: Write the proportion equation
   13,460 : 32,570 = 32,570 : x
2. Step 2: Convert to fraction form
   13,460/32,570 = 32,570/x
3. Step 3: Cross multiply
   13,460x = 32,570 × 32,570
4. Step 4: Simplify right side
   13,460x = 1,060,804,900
5. Step 5: Solve for x
   x = 1,060,804,900/13,460
6. Step 6: Final answer
   x = 78,811.66