Finding the Third Proportional to 37,106 and 57,328

Step by Step Solution

1. Step 1: Write the proportion equation
   37,106 : 57,328 = 57,328 : x
2. Step 2: Convert to fraction form
   37,106/57,328 = 57,328/x
3. Step 3: Cross multiply
   37,106x = 57,328 × 57,328
4. Step 4: Simplify right side
   37,106x = 3,286,499,584
5. Step 5: Solve for x
   x = 3,286,499,584/37,106
6. Step 6: Final answer
   x = 88,570.57