Finding the Third Proportional to 31,784 and 69,952

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 69,952 = 69,952 : x
2. Step 2: Convert to fraction form
   31,784/69,952 = 69,952/x
3. Step 3: Cross multiply
   31,784x = 69,952 × 69,952
4. Step 4: Simplify right side
   31,784x = 4,893,282,304
5. Step 5: Solve for x
   x = 4,893,282,304/31,784
6. Step 6: Final answer
   x = 153,954.26