Finding the Third Proportional to 37,656 and 81,870

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 81,870 = 81,870 : x
2. Step 2: Convert to fraction form
   37,656/81,870 = 81,870/x
3. Step 3: Cross multiply
   37,656x = 81,870 × 81,870
4. Step 4: Simplify right side
   37,656x = 6,702,696,900
5. Step 5: Solve for x
   x = 6,702,696,900/37,656
6. Step 6: Final answer
   x = 177,998.11