Finding the Third Proportional to 29,754 and 47,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,754 : 47,839.50 = 47,839.50 : x
2. Step 2: Convert to fraction form
   29,754/47,839.50 = 47,839.50/x
3. Step 3: Cross multiply
   29,754x = 47,839.50 × 47,839.50
4. Step 4: Simplify right side
   29,754x = 2,288,617,760.25
5. Step 5: Solve for x
   x = 2,288,617,760.25/29,754
6. Step 6: Final answer
   x = 76,917.99