Finding the Third Proportional to 37,688 and 81,938

Step by Step Solution

1. Step 1: Write the proportion equation
   37,688 : 81,938 = 81,938 : x
2. Step 2: Convert to fraction form
   37,688/81,938 = 81,938/x
3. Step 3: Cross multiply
   37,688x = 81,938 × 81,938
4. Step 4: Simplify right side
   37,688x = 6,713,835,844
5. Step 5: Solve for x
   x = 6,713,835,844/37,688
6. Step 6: Final answer
   x = 178,142.53