Finding the Third Proportional to 28,106 and 64,007

Step by Step Solution

1. Step 1: Write the proportion equation
   28,106 : 64,007 = 64,007 : x
2. Step 2: Convert to fraction form
   28,106/64,007 = 64,007/x
3. Step 3: Cross multiply
   28,106x = 64,007 × 64,007
4. Step 4: Simplify right side
   28,106x = 4,096,896,049
5. Step 5: Solve for x
   x = 4,096,896,049/28,106
6. Step 6: Final answer
   x = 145,765.89