Finding the Third Proportional to 56,738 and 76,323

Step by Step Solution

1. Step 1: Write the proportion equation
   56,738 : 76,323 = 76,323 : x
2. Step 2: Convert to fraction form
   56,738/76,323 = 76,323/x
3. Step 3: Cross multiply
   56,738x = 76,323 × 76,323
4. Step 4: Simplify right side
   56,738x = 5,825,200,329
5. Step 5: Solve for x
   x = 5,825,200,329/56,738
6. Step 6: Final answer
   x = 102,668.41