Finding the Third Proportional to 13,419 and 31,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,419 : 31,574.50 = 31,574.50 : x
2. Step 2: Convert to fraction form
   13,419/31,574.50 = 31,574.50/x
3. Step 3: Cross multiply
   13,419x = 31,574.50 × 31,574.50
4. Step 4: Simplify right side
   13,419x = 996,949,050.25
5. Step 5: Solve for x
   x = 996,949,050.25/13,419
6. Step 6: Final answer
   x = 74,293.84