Finding the Third Proportional to 27,711 and 37,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,711 : 37,858.50 = 37,858.50 : x
2. Step 2: Convert to fraction form
   27,711/37,858.50 = 37,858.50/x
3. Step 3: Cross multiply
   27,711x = 37,858.50 × 37,858.50
4. Step 4: Simplify right side
   27,711x = 1,433,266,022.25
5. Step 5: Solve for x
   x = 1,433,266,022.25/27,711
6. Step 6: Final answer
   x = 51,721.92