Finding the Third Proportional to 65,826 and 94,065

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 94,065 = 94,065 : x
2. Step 2: Convert to fraction form
   65,826/94,065 = 94,065/x
3. Step 3: Cross multiply
   65,826x = 94,065 × 94,065
4. Step 4: Simplify right side
   65,826x = 8,848,224,225
5. Step 5: Solve for x
   x = 8,848,224,225/65,826
6. Step 6: Final answer
   x = 134,418.38