Finding the Third Proportional to 13,574.25 and 31,694.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,574.25 : 31,694.63 = 31,694.63 : x
2. Step 2: Convert to fraction form
   13,574.25/31,694.63 = 31,694.63/x
3. Step 3: Cross multiply
   13,574.25x = 31,694.63 × 31,694.63
4. Step 4: Simplify right side
   13,574.25x = 1,004,549,253.89
5. Step 5: Solve for x
   x = 1,004,549,253.89/13,574.25
6. Step 6: Final answer
   x = 74,004.03