Finding the Third Proportional to 30,177 and 46,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,177 : 46,681.50 = 46,681.50 : x
2. Step 2: Convert to fraction form
   30,177/46,681.50 = 46,681.50/x
3. Step 3: Cross multiply
   30,177x = 46,681.50 × 46,681.50
4. Step 4: Simplify right side
   30,177x = 2,179,162,442.25
5. Step 5: Solve for x
   x = 2,179,162,442.25/30,177
6. Step 6: Final answer
   x = 72,212.69