Finding the Third Proportional to 13,880 and 22,076

Step by Step Solution

1. Step 1: Write the proportion equation
   13,880 : 22,076 = 22,076 : x
2. Step 2: Convert to fraction form
   13,880/22,076 = 22,076/x
3. Step 3: Cross multiply
   13,880x = 22,076 × 22,076
4. Step 4: Simplify right side
   13,880x = 487,349,776
5. Step 5: Solve for x
   x = 487,349,776/13,880
6. Step 6: Final answer
   x = 35,111.66