Finding the Third Proportional to 13,564 and 32,424

Step by Step Solution

1. Step 1: Write the proportion equation
   13,564 : 32,424 = 32,424 : x
2. Step 2: Convert to fraction form
   13,564/32,424 = 32,424/x
3. Step 3: Cross multiply
   13,564x = 32,424 × 32,424
4. Step 4: Simplify right side
   13,564x = 1,051,315,776
5. Step 5: Solve for x
   x = 1,051,315,776/13,564
6. Step 6: Final answer
   x = 77,507.80