Finding the Third Proportional to 23,769 and 51,111

Step by Step Solution

1. Step 1: Write the proportion equation
   23,769 : 51,111 = 51,111 : x
2. Step 2: Convert to fraction form
   23,769/51,111 = 51,111/x
3. Step 3: Cross multiply
   23,769x = 51,111 × 51,111
4. Step 4: Simplify right side
   23,769x = 2,612,334,321
5. Step 5: Solve for x
   x = 2,612,334,321/23,769
6. Step 6: Final answer
   x = 109,905.10