Finding the Third Proportional to 38,509 and 51,510

Step by Step Solution

1. Step 1: Write the proportion equation
   38,509 : 51,510 = 51,510 : x
2. Step 2: Convert to fraction form
   38,509/51,510 = 51,510/x
3. Step 3: Cross multiply
   38,509x = 51,510 × 51,510
4. Step 4: Simplify right side
   38,509x = 2,653,280,100
5. Step 5: Solve for x
   x = 2,653,280,100/38,509
6. Step 6: Final answer
   x = 68,900.26