Finding the Third Proportional to 13,570.50 and 32,682

Step by Step Solution

1. Step 1: Write the proportion equation
   13,570.50 : 32,682 = 32,682 : x
2. Step 2: Convert to fraction form
   13,570.50/32,682 = 32,682/x
3. Step 3: Cross multiply
   13,570.50x = 32,682 × 32,682
4. Step 4: Simplify right side
   13,570.50x = 1,068,113,124
5. Step 5: Solve for x
   x = 1,068,113,124/13,570.50
6. Step 6: Final answer
   x = 78,708.46