Finding the Third Proportional to 30,112 and 65,964

Step by Step Solution

1. Step 1: Write the proportion equation
   30,112 : 65,964 = 65,964 : x
2. Step 2: Convert to fraction form
   30,112/65,964 = 65,964/x
3. Step 3: Cross multiply
   30,112x = 65,964 × 65,964
4. Step 4: Simplify right side
   30,112x = 4,351,249,296
5. Step 5: Solve for x
   x = 4,351,249,296/30,112
6. Step 6: Final answer
   x = 144,502.17