Finding the Third Proportional to 30,994 and 67,748

Step by Step Solution

1. Step 1: Write the proportion equation
   30,994 : 67,748 = 67,748 : x
2. Step 2: Convert to fraction form
   30,994/67,748 = 67,748/x
3. Step 3: Cross multiply
   30,994x = 67,748 × 67,748
4. Step 4: Simplify right side
   30,994x = 4,589,791,504
5. Step 5: Solve for x
   x = 4,589,791,504/30,994
6. Step 6: Final answer
   x = 148,086.45