Finding the Third Proportional to 10,672 and 15,624

Step by Step Solution

1. Step 1: Write the proportion equation
   10,672 : 15,624 = 15,624 : x
2. Step 2: Convert to fraction form
   10,672/15,624 = 15,624/x
3. Step 3: Cross multiply
   10,672x = 15,624 × 15,624
4. Step 4: Simplify right side
   10,672x = 244,109,376
5. Step 5: Solve for x
   x = 244,109,376/10,672
6. Step 6: Final answer
   x = 22,873.82