Finding the Third Proportional to 37,385 and 81,736

Step by Step Solution

1. Step 1: Write the proportion equation
   37,385 : 81,736 = 81,736 : x
2. Step 2: Convert to fraction form
   37,385/81,736 = 81,736/x
3. Step 3: Cross multiply
   37,385x = 81,736 × 81,736
4. Step 4: Simplify right side
   37,385x = 6,680,773,696
5. Step 5: Solve for x
   x = 6,680,773,696/37,385
6. Step 6: Final answer
   x = 178,701.98