Finding the Third Proportional to 10,634 and 16,047

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634 : 16,047 = 16,047 : x
2. Step 2: Convert to fraction form
   10,634/16,047 = 16,047/x
3. Step 3: Cross multiply
   10,634x = 16,047 × 16,047
4. Step 4: Simplify right side
   10,634x = 257,506,209
5. Step 5: Solve for x
   x = 257,506,209/10,634
6. Step 6: Final answer
   x = 24,215.37