Finding the Third Proportional to 31,574.63 and 69,736.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,574.63 : 69,736.75 = 69,736.75 : x
2. Step 2: Convert to fraction form
   31,574.63/69,736.75 = 69,736.75/x
3. Step 3: Cross multiply
   31,574.63x = 69,736.75 × 69,736.75
4. Step 4: Simplify right side
   31,574.63x = 4,863,214,300.56
5. Step 5: Solve for x
   x = 4,863,214,300.56/31,574.63
6. Step 6: Final answer
   x = 154,022.87