Finding the Third Proportional to 39,026 and 83,969

Step by Step Solution

1. Step 1: Write the proportion equation
   39,026 : 83,969 = 83,969 : x
2. Step 2: Convert to fraction form
   39,026/83,969 = 83,969/x
3. Step 3: Cross multiply
   39,026x = 83,969 × 83,969
4. Step 4: Simplify right side
   39,026x = 7,050,792,961
5. Step 5: Solve for x
   x = 7,050,792,961/39,026
6. Step 6: Final answer
   x = 180,669.12