Finding the Third Proportional to 30,378 and 45,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,378 : 45,445.50 = 45,445.50 : x
2. Step 2: Convert to fraction form
   30,378/45,445.50 = 45,445.50/x
3. Step 3: Cross multiply
   30,378x = 45,445.50 × 45,445.50
4. Step 4: Simplify right side
   30,378x = 2,065,293,470.25
5. Step 5: Solve for x
   x = 2,065,293,470.25/30,378
6. Step 6: Final answer
   x = 67,986.49