Finding the Third Proportional to 37,858 and 53,086

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 53,086 = 53,086 : x
2. Step 2: Convert to fraction form
   37,858/53,086 = 53,086/x
3. Step 3: Cross multiply
   37,858x = 53,086 × 53,086
4. Step 4: Simplify right side
   37,858x = 2,818,123,396
5. Step 5: Solve for x
   x = 2,818,123,396/37,858
6. Step 6: Final answer
   x = 74,439.31