Finding the Third Proportional to 32,411 and 52,924

Step by Step Solution

1. Step 1: Write the proportion equation
   32,411 : 52,924 = 52,924 : x
2. Step 2: Convert to fraction form
   32,411/52,924 = 52,924/x
3. Step 3: Cross multiply
   32,411x = 52,924 × 52,924
4. Step 4: Simplify right side
   32,411x = 2,800,949,776
5. Step 5: Solve for x
   x = 2,800,949,776/32,411
6. Step 6: Final answer
   x = 86,419.73