Finding the Third Proportional to 37,827 and 53,013.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 53,013.38 = 53,013.38 : x
2. Step 2: Convert to fraction form
   37,827/53,013.38 = 53,013.38/x
3. Step 3: Cross multiply
   37,827x = 53,013.38 × 53,013.38
4. Step 4: Simplify right side
   37,827x = 2,810,417,928.89
5. Step 5: Solve for x
   x = 2,810,417,928.89/37,827
6. Step 6: Final answer
   x = 74,296.61