Finding the Third Proportional to 61,309 and 82,390

Step by Step Solution

1. Step 1: Write the proportion equation
   61,309 : 82,390 = 82,390 : x
2. Step 2: Convert to fraction form
   61,309/82,390 = 82,390/x
3. Step 3: Cross multiply
   61,309x = 82,390 × 82,390
4. Step 4: Simplify right side
   61,309x = 6,788,112,100
5. Step 5: Solve for x
   x = 6,788,112,100/61,309
6. Step 6: Final answer
   x = 110,719.67