Finding the Third Proportional to 40,730 and 53,684

Step by Step Solution

1. Step 1: Write the proportion equation
   40,730 : 53,684 = 53,684 : x
2. Step 2: Convert to fraction form
   40,730/53,684 = 53,684/x
3. Step 3: Cross multiply
   40,730x = 53,684 × 53,684
4. Step 4: Simplify right side
   40,730x = 2,881,971,856
5. Step 5: Solve for x
   x = 2,881,971,856/40,730
6. Step 6: Final answer
   x = 70,757.96