Finding the Third Proportional to 27,789.75 and 37,796.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,789.75 : 37,796.63 = 37,796.63 : x
2. Step 2: Convert to fraction form
   27,789.75/37,796.63 = 37,796.63/x
3. Step 3: Cross multiply
   27,789.75x = 37,796.63 × 37,796.63
4. Step 4: Simplify right side
   27,789.75x = 1,428,584,861.39
5. Step 5: Solve for x
   x = 1,428,584,861.39/27,789.75
6. Step 6: Final answer
   x = 51,406.90