Finding the Third Proportional to 13,564 and 32,672

Step by Step Solution

1. Step 1: Write the proportion equation
   13,564 : 32,672 = 32,672 : x
2. Step 2: Convert to fraction form
   13,564/32,672 = 32,672/x
3. Step 3: Cross multiply
   13,564x = 32,672 × 32,672
4. Step 4: Simplify right side
   13,564x = 1,067,459,584
5. Step 5: Solve for x
   x = 1,067,459,584/13,564
6. Step 6: Final answer
   x = 78,697.99