Finding the Third Proportional to 25,088 and 34,172

Step by Step Solution

1. Step 1: Write the proportion equation
   25,088 : 34,172 = 34,172 : x
2. Step 2: Convert to fraction form
   25,088/34,172 = 34,172/x
3. Step 3: Cross multiply
   25,088x = 34,172 × 34,172
4. Step 4: Simplify right side
   25,088x = 1,167,725,584
5. Step 5: Solve for x
   x = 1,167,725,584/25,088
6. Step 6: Final answer
   x = 46,545.18