Finding the Third Proportional to 30,776 and 46,111

Step by Step Solution

1. Step 1: Write the proportion equation
   30,776 : 46,111 = 46,111 : x
2. Step 2: Convert to fraction form
   30,776/46,111 = 46,111/x
3. Step 3: Cross multiply
   30,776x = 46,111 × 46,111
4. Step 4: Simplify right side
   30,776x = 2,126,224,321
5. Step 5: Solve for x
   x = 2,126,224,321/30,776
6. Step 6: Final answer
   x = 69,087.09