Finding the Third Proportional to 37,096 and 55,964

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 55,964 = 55,964 : x
2. Step 2: Convert to fraction form
   37,096/55,964 = 55,964/x
3. Step 3: Cross multiply
   37,096x = 55,964 × 55,964
4. Step 4: Simplify right side
   37,096x = 3,131,969,296
5. Step 5: Solve for x
   x = 3,131,969,296/37,096
6. Step 6: Final answer
   x = 84,428.76