Finding the Third Proportional to 65,838 and 94,082

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 94,082 = 94,082 : x
2. Step 2: Convert to fraction form
   65,838/94,082 = 94,082/x
3. Step 3: Cross multiply
   65,838x = 94,082 × 94,082
4. Step 4: Simplify right side
   65,838x = 8,851,422,724
5. Step 5: Solve for x
   x = 8,851,422,724/65,838
6. Step 6: Final answer
   x = 134,442.46