Finding the Third Proportional to 27,327 and 37,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,327 : 37,084.50 = 37,084.50 : x
2. Step 2: Convert to fraction form
   27,327/37,084.50 = 37,084.50/x
3. Step 3: Cross multiply
   27,327x = 37,084.50 × 37,084.50
4. Step 4: Simplify right side
   27,327x = 1,375,260,140.25
5. Step 5: Solve for x
   x = 1,375,260,140.25/27,327
6. Step 6: Final answer
   x = 50,326.06