Finding the Third Proportional to 21,184 and 32,346

Step by Step Solution

1. Step 1: Write the proportion equation
   21,184 : 32,346 = 32,346 : x
2. Step 2: Convert to fraction form
   21,184/32,346 = 32,346/x
3. Step 3: Cross multiply
   21,184x = 32,346 × 32,346
4. Step 4: Simplify right side
   21,184x = 1,046,263,716
5. Step 5: Solve for x
   x = 1,046,263,716/21,184
6. Step 6: Final answer
   x = 49,389.34