Finding the Third Proportional to 11,429 and 17,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,429 : 17,265.50 = 17,265.50 : x
2. Step 2: Convert to fraction form
   11,429/17,265.50 = 17,265.50/x
3. Step 3: Cross multiply
   11,429x = 17,265.50 × 17,265.50
4. Step 4: Simplify right side
   11,429x = 298,097,490.25
5. Step 5: Solve for x
   x = 298,097,490.25/11,429
6. Step 6: Final answer
   x = 26,082.55