Finding the Third Proportional to 13,624 and 32,924

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 32,924 = 32,924 : x
2. Step 2: Convert to fraction form
   13,624/32,924 = 32,924/x
3. Step 3: Cross multiply
   13,624x = 32,924 × 32,924
4. Step 4: Simplify right side
   13,624x = 1,083,989,776
5. Step 5: Solve for x
   x = 1,083,989,776/13,624
6. Step 6: Final answer
   x = 79,564.72