Finding the Third Proportional to 30,776 and 45,588

Step by Step Solution

1. Step 1: Write the proportion equation
   30,776 : 45,588 = 45,588 : x
2. Step 2: Convert to fraction form
   30,776/45,588 = 45,588/x
3. Step 3: Cross multiply
   30,776x = 45,588 × 45,588
4. Step 4: Simplify right side
   30,776x = 2,078,265,744
5. Step 5: Solve for x
   x = 2,078,265,744/30,776
6. Step 6: Final answer
   x = 67,528.78