Finding the Third Proportional to 15,965 and 34,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,965 : 34,693.50 = 34,693.50 : x
2. Step 2: Convert to fraction form
   15,965/34,693.50 = 34,693.50/x
3. Step 3: Cross multiply
   15,965x = 34,693.50 × 34,693.50
4. Step 4: Simplify right side
   15,965x = 1,203,638,942.25
5. Step 5: Solve for x
   x = 1,203,638,942.25/15,965
6. Step 6: Final answer
   x = 75,392.35