Finding the Third Proportional to 30,874.50 and 46,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,874.50 : 46,978.50 = 46,978.50 : x
2. Step 2: Convert to fraction form
   30,874.50/46,978.50 = 46,978.50/x
3. Step 3: Cross multiply
   30,874.50x = 46,978.50 × 46,978.50
4. Step 4: Simplify right side
   30,874.50x = 2,206,979,462.25
5. Step 5: Solve for x
   x = 2,206,979,462.25/30,874.50
6. Step 6: Final answer
   x = 71,482.27