Finding the Third Proportional to 37,242 and 65,735

Step by Step Solution

1. Step 1: Write the proportion equation
   37,242 : 65,735 = 65,735 : x
2. Step 2: Convert to fraction form
   37,242/65,735 = 65,735/x
3. Step 3: Cross multiply
   37,242x = 65,735 × 65,735
4. Step 4: Simplify right side
   37,242x = 4,321,090,225
5. Step 5: Solve for x
   x = 4,321,090,225/37,242
6. Step 6: Final answer
   x = 116,027.34