Finding the Third Proportional to 37,827 and 59,211

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 59,211 = 59,211 : x
2. Step 2: Convert to fraction form
   37,827/59,211 = 59,211/x
3. Step 3: Cross multiply
   37,827x = 59,211 × 59,211
4. Step 4: Simplify right side
   37,827x = 3,505,942,521
5. Step 5: Solve for x
   x = 3,505,942,521/37,827
6. Step 6: Final answer
   x = 92,683.60