Finding the Third Proportional to 30,401 and 42,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,401 : 42,781.50 = 42,781.50 : x
2. Step 2: Convert to fraction form
   30,401/42,781.50 = 42,781.50/x
3. Step 3: Cross multiply
   30,401x = 42,781.50 × 42,781.50
4. Step 4: Simplify right side
   30,401x = 1,830,256,742.25
5. Step 5: Solve for x
   x = 1,830,256,742.25/30,401
6. Step 6: Final answer
   x = 60,203.83