Finding the Third Proportional to 21,664 and 30,432

Step by Step Solution

1. Step 1: Write the proportion equation
   21,664 : 30,432 = 30,432 : x
2. Step 2: Convert to fraction form
   21,664/30,432 = 30,432/x
3. Step 3: Cross multiply
   21,664x = 30,432 × 30,432
4. Step 4: Simplify right side
   21,664x = 926,106,624
5. Step 5: Solve for x
   x = 926,106,624/21,664
6. Step 6: Final answer
   x = 42,748.64