Finding the Third Proportional to 12,429 and 19,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,429 : 19,417.50 = 19,417.50 : x
2. Step 2: Convert to fraction form
   12,429/19,417.50 = 19,417.50/x
3. Step 3: Cross multiply
   12,429x = 19,417.50 × 19,417.50
4. Step 4: Simplify right side
   12,429x = 377,039,306.25
5. Step 5: Solve for x
   x = 377,039,306.25/12,429
6. Step 6: Final answer
   x = 30,335.45