Finding the Third Proportional to 30,101 and 65,224

Step by Step Solution

1. Step 1: Write the proportion equation
   30,101 : 65,224 = 65,224 : x
2. Step 2: Convert to fraction form
   30,101/65,224 = 65,224/x
3. Step 3: Cross multiply
   30,101x = 65,224 × 65,224
4. Step 4: Simplify right side
   30,101x = 4,254,170,176
5. Step 5: Solve for x
   x = 4,254,170,176/30,101
6. Step 6: Final answer
   x = 141,329.86