Finding the Third Proportional to 38,724 and 59,590

Step by Step Solution

1. Step 1: Write the proportion equation
   38,724 : 59,590 = 59,590 : x
2. Step 2: Convert to fraction form
   38,724/59,590 = 59,590/x
3. Step 3: Cross multiply
   38,724x = 59,590 × 59,590
4. Step 4: Simplify right side
   38,724x = 3,550,968,100
5. Step 5: Solve for x
   x = 3,550,968,100/38,724
6. Step 6: Final answer
   x = 91,699.41