Finding the Third Proportional to 20,154 and 37,770

Step by Step Solution

1. Step 1: Write the proportion equation
   20,154 : 37,770 = 37,770 : x
2. Step 2: Convert to fraction form
   20,154/37,770 = 37,770/x
3. Step 3: Cross multiply
   20,154x = 37,770 × 37,770
4. Step 4: Simplify right side
   20,154x = 1,426,572,900
5. Step 5: Solve for x
   x = 1,426,572,900/20,154
6. Step 6: Final answer
   x = 70,783.61