Finding the Third Proportional to 31,407.75 and 69,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407.75 : 69,005.25 = 69,005.25 : x
2. Step 2: Convert to fraction form
   31,407.75/69,005.25 = 69,005.25/x
3. Step 3: Cross multiply
   31,407.75x = 69,005.25 × 69,005.25
4. Step 4: Simplify right side
   31,407.75x = 4,761,724,527.56
5. Step 5: Solve for x
   x = 4,761,724,527.56/31,407.75
6. Step 6: Final answer
   x = 151,609.86