Finding the Third Proportional to 58,352 and 82,573

Step by Step Solution

1. Step 1: Write the proportion equation
   58,352 : 82,573 = 82,573 : x
2. Step 2: Convert to fraction form
   58,352/82,573 = 82,573/x
3. Step 3: Cross multiply
   58,352x = 82,573 × 82,573
4. Step 4: Simplify right side
   58,352x = 6,818,300,329
5. Step 5: Solve for x
   x = 6,818,300,329/58,352
6. Step 6: Final answer
   x = 116,847.76