Finding the Third Proportional to 27,937 and 37,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,937 : 37,963.50 = 37,963.50 : x
2. Step 2: Convert to fraction form
   27,937/37,963.50 = 37,963.50/x
3. Step 3: Cross multiply
   27,937x = 37,963.50 × 37,963.50
4. Step 4: Simplify right side
   27,937x = 1,441,227,332.25
5. Step 5: Solve for x
   x = 1,441,227,332.25/27,937
6. Step 6: Final answer
   x = 51,588.48