Finding the Third Proportional to 22,102 and 34,146

Step by Step Solution

1. Step 1: Write the proportion equation
   22,102 : 34,146 = 34,146 : x
2. Step 2: Convert to fraction form
   22,102/34,146 = 34,146/x
3. Step 3: Cross multiply
   22,102x = 34,146 × 34,146
4. Step 4: Simplify right side
   22,102x = 1,165,949,316
5. Step 5: Solve for x
   x = 1,165,949,316/22,102
6. Step 6: Final answer
   x = 52,753.11