Finding the Third Proportional to 37,156 and 81,359

Step by Step Solution

1. Step 1: Write the proportion equation
   37,156 : 81,359 = 81,359 : x
2. Step 2: Convert to fraction form
   37,156/81,359 = 81,359/x
3. Step 3: Cross multiply
   37,156x = 81,359 × 81,359
4. Step 4: Simplify right side
   37,156x = 6,619,286,881
5. Step 5: Solve for x
   x = 6,619,286,881/37,156
6. Step 6: Final answer
   x = 178,148.53