Finding the Third Proportional to 38,746 and 59,583

Step by Step Solution

1. Step 1: Write the proportion equation
   38,746 : 59,583 = 59,583 : x
2. Step 2: Convert to fraction form
   38,746/59,583 = 59,583/x
3. Step 3: Cross multiply
   38,746x = 59,583 × 59,583
4. Step 4: Simplify right side
   38,746x = 3,550,133,889
5. Step 5: Solve for x
   x = 3,550,133,889/38,746
6. Step 6: Final answer
   x = 91,625.82