Finding the Third Proportional to 22,100 and 34,143

Step by Step Solution

1. Step 1: Write the proportion equation
   22,100 : 34,143 = 34,143 : x
2. Step 2: Convert to fraction form
   22,100/34,143 = 34,143/x
3. Step 3: Cross multiply
   22,100x = 34,143 × 34,143
4. Step 4: Simplify right side
   22,100x = 1,165,744,449
5. Step 5: Solve for x
   x = 1,165,744,449/22,100
6. Step 6: Final answer
   x = 52,748.62