Finding the Third Proportional to 38,105 and 51,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,105 : 51,401.50 = 51,401.50 : x
2. Step 2: Convert to fraction form
   38,105/51,401.50 = 51,401.50/x
3. Step 3: Cross multiply
   38,105x = 51,401.50 × 51,401.50
4. Step 4: Simplify right side
   38,105x = 2,642,114,202.25
5. Step 5: Solve for x
   x = 2,642,114,202.25/38,105
6. Step 6: Final answer
   x = 69,337.73