Finding the Third Proportional to 31,690 and 69,284

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690 : 69,284 = 69,284 : x
2. Step 2: Convert to fraction form
   31,690/69,284 = 69,284/x
3. Step 3: Cross multiply
   31,690x = 69,284 × 69,284
4. Step 4: Simplify right side
   31,690x = 4,800,272,656
5. Step 5: Solve for x
   x = 4,800,272,656/31,690
6. Step 6: Final answer
   x = 151,475.94