Finding the Third Proportional to 30,898.50 and 47,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,898.50 : 47,968.50 = 47,968.50 : x
2. Step 2: Convert to fraction form
   30,898.50/47,968.50 = 47,968.50/x
3. Step 3: Cross multiply
   30,898.50x = 47,968.50 × 47,968.50
4. Step 4: Simplify right side
   30,898.50x = 2,300,976,992.25
5. Step 5: Solve for x
   x = 2,300,976,992.25/30,898.50
6. Step 6: Final answer
   x = 74,468.89