Finding the Third Proportional to 30,774.75 and 46,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,774.75 : 46,109.50 = 46,109.50 : x
2. Step 2: Convert to fraction form
   30,774.75/46,109.50 = 46,109.50/x
3. Step 3: Cross multiply
   30,774.75x = 46,109.50 × 46,109.50
4. Step 4: Simplify right side
   30,774.75x = 2,126,085,990.25
5. Step 5: Solve for x
   x = 2,126,085,990.25/30,774.75
6. Step 6: Final answer
   x = 69,085.40