Finding the Third Proportional to 45,225 and 69,012

Step by Step Solution

1. Step 1: Write the proportion equation
   45,225 : 69,012 = 69,012 : x
2. Step 2: Convert to fraction form
   45,225/69,012 = 69,012/x
3. Step 3: Cross multiply
   45,225x = 69,012 × 69,012
4. Step 4: Simplify right side
   45,225x = 4,762,656,144
5. Step 5: Solve for x
   x = 4,762,656,144/45,225
6. Step 6: Final answer
   x = 105,310.25