Finding the Third Proportional to 46,460 and 70,782

Step by Step Solution

1. Step 1: Write the proportion equation
   46,460 : 70,782 = 70,782 : x
2. Step 2: Convert to fraction form
   46,460/70,782 = 70,782/x
3. Step 3: Cross multiply
   46,460x = 70,782 × 70,782
4. Step 4: Simplify right side
   46,460x = 5,010,091,524
5. Step 5: Solve for x
   x = 5,010,091,524/46,460
6. Step 6: Final answer
   x = 107,836.67