Finding the Third Proportional to 37,218 and 57,645

Step by Step Solution

1. Step 1: Write the proportion equation
   37,218 : 57,645 = 57,645 : x
2. Step 2: Convert to fraction form
   37,218/57,645 = 57,645/x
3. Step 3: Cross multiply
   37,218x = 57,645 × 57,645
4. Step 4: Simplify right side
   37,218x = 3,322,946,025
5. Step 5: Solve for x
   x = 3,322,946,025/37,218
6. Step 6: Final answer
   x = 89,283.30