Finding the Third Proportional to 37,744 and 78,586

Step by Step Solution

1. Step 1: Write the proportion equation
   37,744 : 78,586 = 78,586 : x
2. Step 2: Convert to fraction form
   37,744/78,586 = 78,586/x
3. Step 3: Cross multiply
   37,744x = 78,586 × 78,586
4. Step 4: Simplify right side
   37,744x = 6,175,759,396
5. Step 5: Solve for x
   x = 6,175,759,396/37,744
6. Step 6: Final answer
   x = 163,622.28