Finding the Third Proportional to 46,736 and 70,536

Step by Step Solution

1. Step 1: Write the proportion equation
   46,736 : 70,536 = 70,536 : x
2. Step 2: Convert to fraction form
   46,736/70,536 = 70,536/x
3. Step 3: Cross multiply
   46,736x = 70,536 × 70,536
4. Step 4: Simplify right side
   46,736x = 4,975,327,296
5. Step 5: Solve for x
   x = 4,975,327,296/46,736
6. Step 6: Final answer
   x = 106,455.99