Finding the Third Proportional to 37,918 and 81,650

Step by Step Solution

1. Step 1: Write the proportion equation
   37,918 : 81,650 = 81,650 : x
2. Step 2: Convert to fraction form
   37,918/81,650 = 81,650/x
3. Step 3: Cross multiply
   37,918x = 81,650 × 81,650
4. Step 4: Simplify right side
   37,918x = 6,666,722,500
5. Step 5: Solve for x
   x = 6,666,722,500/37,918
6. Step 6: Final answer
   x = 175,819.47