Finding the Third Proportional to 30,460 and 45,563

Step by Step Solution

1. Step 1: Write the proportion equation
   30,460 : 45,563 = 45,563 : x
2. Step 2: Convert to fraction form
   30,460/45,563 = 45,563/x
3. Step 3: Cross multiply
   30,460x = 45,563 × 45,563
4. Step 4: Simplify right side
   30,460x = 2,075,986,969
5. Step 5: Solve for x
   x = 2,075,986,969/30,460
6. Step 6: Final answer
   x = 68,154.53