Finding the Third Proportional to 27,894 and 37,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,894 : 37,840.50 = 37,840.50 : x
2. Step 2: Convert to fraction form
   27,894/37,840.50 = 37,840.50/x
3. Step 3: Cross multiply
   27,894x = 37,840.50 × 37,840.50
4. Step 4: Simplify right side
   27,894x = 1,431,903,440.25
5. Step 5: Solve for x
   x = 1,431,903,440.25/27,894
6. Step 6: Final answer
   x = 51,333.74