Finding the Third Proportional to 39,546 and 59,697

Step by Step Solution

1. Step 1: Write the proportion equation
   39,546 : 59,697 = 59,697 : x
2. Step 2: Convert to fraction form
   39,546/59,697 = 59,697/x
3. Step 3: Cross multiply
   39,546x = 59,697 × 59,697
4. Step 4: Simplify right side
   39,546x = 3,563,731,809
5. Step 5: Solve for x
   x = 3,563,731,809/39,546
6. Step 6: Final answer
   x = 90,116.11