Finding the Third Proportional to 17,784 and 23,076

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 23,076 = 23,076 : x
2. Step 2: Convert to fraction form
   17,784/23,076 = 23,076/x
3. Step 3: Cross multiply
   17,784x = 23,076 × 23,076
4. Step 4: Simplify right side
   17,784x = 532,501,776
5. Step 5: Solve for x
   x = 532,501,776/17,784
6. Step 6: Final answer
   x = 29,942.74