Finding the Third Proportional to 21,600 and 32,364

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 32,364 = 32,364 : x
2. Step 2: Convert to fraction form
   21,600/32,364 = 32,364/x
3. Step 3: Cross multiply
   21,600x = 32,364 × 32,364
4. Step 4: Simplify right side
   21,600x = 1,047,428,496
5. Step 5: Solve for x
   x = 1,047,428,496/21,600
6. Step 6: Final answer
   x = 48,492.06