Finding the Third Proportional to 31,784 and 69,918

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 69,918 = 69,918 : x
2. Step 2: Convert to fraction form
   31,784/69,918 = 69,918/x
3. Step 3: Cross multiply
   31,784x = 69,918 × 69,918
4. Step 4: Simplify right side
   31,784x = 4,888,526,724
5. Step 5: Solve for x
   x = 4,888,526,724/31,784
6. Step 6: Final answer
   x = 153,804.64