Finding the Third Proportional to 37,408 and 58,362

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 58,362 = 58,362 : x
2. Step 2: Convert to fraction form
   37,408/58,362 = 58,362/x
3. Step 3: Cross multiply
   37,408x = 58,362 × 58,362
4. Step 4: Simplify right side
   37,408x = 3,406,123,044
5. Step 5: Solve for x
   x = 3,406,123,044/37,408
6. Step 6: Final answer
   x = 91,053.33