Finding the Third Proportional to 38,257 and 51,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,257 : 51,310.50 = 51,310.50 : x
2. Step 2: Convert to fraction form
   38,257/51,310.50 = 51,310.50/x
3. Step 3: Cross multiply
   38,257x = 51,310.50 × 51,310.50
4. Step 4: Simplify right side
   38,257x = 2,632,767,410.25
5. Step 5: Solve for x
   x = 2,632,767,410.25/38,257
6. Step 6: Final answer
   x = 68,817.93