Finding the Third Proportional to 38,411 and 59,456

Step by Step Solution

1. Step 1: Write the proportion equation
   38,411 : 59,456 = 59,456 : x
2. Step 2: Convert to fraction form
   38,411/59,456 = 59,456/x
3. Step 3: Cross multiply
   38,411x = 59,456 × 59,456
4. Step 4: Simplify right side
   38,411x = 3,535,015,936
5. Step 5: Solve for x
   x = 3,535,015,936/38,411
6. Step 6: Final answer
   x = 92,031.34