Finding the Third Proportional to 31,914 and 69,422.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 69,422.06 = 69,422.06 : x
2. Step 2: Convert to fraction form
   31,914/69,422.06 = 69,422.06/x
3. Step 3: Cross multiply
   31,914x = 69,422.06 × 69,422.06
4. Step 4: Simplify right side
   31,914x = 4,819,422,761.75
5. Step 5: Solve for x
   x = 4,819,422,761.75/31,914
6. Step 6: Final answer
   x = 151,012.81