Finding the Third Proportional to 34,736 and 81,916

Step by Step Solution

1. Step 1: Write the proportion equation
   34,736 : 81,916 = 81,916 : x
2. Step 2: Convert to fraction form
   34,736/81,916 = 81,916/x
3. Step 3: Cross multiply
   34,736x = 81,916 × 81,916
4. Step 4: Simplify right side
   34,736x = 6,710,231,056
5. Step 5: Solve for x
   x = 6,710,231,056/34,736
6. Step 6: Final answer
   x = 193,178.00