Finding the Third Proportional to 37,444 and 58,470

Step by Step Solution

1. Step 1: Write the proportion equation
   37,444 : 58,470 = 58,470 : x
2. Step 2: Convert to fraction form
   37,444/58,470 = 58,470/x
3. Step 3: Cross multiply
   37,444x = 58,470 × 58,470
4. Step 4: Simplify right side
   37,444x = 3,418,740,900
5. Step 5: Solve for x
   x = 3,418,740,900/37,444
6. Step 6: Final answer
   x = 91,302.77