Finding the Third Proportional to 37,808 and 51,896

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808 : 51,896 = 51,896 : x
2. Step 2: Convert to fraction form
   37,808/51,896 = 51,896/x
3. Step 3: Cross multiply
   37,808x = 51,896 × 51,896
4. Step 4: Simplify right side
   37,808x = 2,693,194,816
5. Step 5: Solve for x
   x = 2,693,194,816/37,808
6. Step 6: Final answer
   x = 71,233.46