Finding the Third Proportional to 13,560 and 32,658

Step by Step Solution

1. Step 1: Write the proportion equation
   13,560 : 32,658 = 32,658 : x
2. Step 2: Convert to fraction form
   13,560/32,658 = 32,658/x
3. Step 3: Cross multiply
   13,560x = 32,658 × 32,658
4. Step 4: Simplify right side
   13,560x = 1,066,544,964
5. Step 5: Solve for x
   x = 1,066,544,964/13,560
6. Step 6: Final answer
   x = 78,653.76