Finding the Third Proportional to 37,096 and 57,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 57,516 = 57,516 : x
2. Step 2: Convert to fraction form
   37,096/57,516 = 57,516/x
3. Step 3: Cross multiply
   37,096x = 57,516 × 57,516
4. Step 4: Simplify right side
   37,096x = 3,308,090,256
5. Step 5: Solve for x
   x = 3,308,090,256/37,096
6. Step 6: Final answer
   x = 89,176.47