Finding the Third Proportional to 10,308 and 15,429

Step by Step Solution

1. Step 1: Write the proportion equation
   10,308 : 15,429 = 15,429 : x
2. Step 2: Convert to fraction form
   10,308/15,429 = 15,429/x
3. Step 3: Cross multiply
   10,308x = 15,429 × 15,429
4. Step 4: Simplify right side
   10,308x = 238,054,041
5. Step 5: Solve for x
   x = 238,054,041/10,308
6. Step 6: Final answer
   x = 23,094.11