Finding the Third Proportional to 37,116 and 80,894

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 80,894 = 80,894 : x
2. Step 2: Convert to fraction form
   37,116/80,894 = 80,894/x
3. Step 3: Cross multiply
   37,116x = 80,894 × 80,894
4. Step 4: Simplify right side
   37,116x = 6,543,839,236
5. Step 5: Solve for x
   x = 6,543,839,236/37,116
6. Step 6: Final answer
   x = 176,307.77