Finding the Third Proportional to 30,135 and 65,076

Step by Step Solution

1. Step 1: Write the proportion equation
   30,135 : 65,076 = 65,076 : x
2. Step 2: Convert to fraction form
   30,135/65,076 = 65,076/x
3. Step 3: Cross multiply
   30,135x = 65,076 × 65,076
4. Step 4: Simplify right side
   30,135x = 4,234,885,776
5. Step 5: Solve for x
   x = 4,234,885,776/30,135
6. Step 6: Final answer
   x = 140,530.47