Finding the Third Proportional to 37,888 and 71,036

Step by Step Solution

1. Step 1: Write the proportion equation
   37,888 : 71,036 = 71,036 : x
2. Step 2: Convert to fraction form
   37,888/71,036 = 71,036/x
3. Step 3: Cross multiply
   37,888x = 71,036 × 71,036
4. Step 4: Simplify right side
   37,888x = 5,046,113,296
5. Step 5: Solve for x
   x = 5,046,113,296/37,888
6. Step 6: Final answer
   x = 133,185.00