Finding the Third Proportional to 37,362 and 57,849

Step by Step Solution

1. Step 1: Write the proportion equation
   37,362 : 57,849 = 57,849 : x
2. Step 2: Convert to fraction form
   37,362/57,849 = 57,849/x
3. Step 3: Cross multiply
   37,362x = 57,849 × 57,849
4. Step 4: Simplify right side
   37,362x = 3,346,506,801
5. Step 5: Solve for x
   x = 3,346,506,801/37,362
6. Step 6: Final answer
   x = 89,569.80