Finding the Third Proportional to 37,872 and 58,721.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,872 : 58,721.63 = 58,721.63 : x
2. Step 2: Convert to fraction form
   37,872/58,721.63 = 58,721.63/x
3. Step 3: Cross multiply
   37,872x = 58,721.63 × 58,721.63
4. Step 4: Simplify right side
   37,872x = 3,448,229,242.64
5. Step 5: Solve for x
   x = 3,448,229,242.64/37,872
6. Step 6: Final answer
   x = 91,049.57