Finding the Third Proportional to 25,888 and 31,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,888 : 31,584 = 31,584 : x
2. Step 2: Convert to fraction form
   25,888/31,584 = 31,584/x
3. Step 3: Cross multiply
   25,888x = 31,584 × 31,584
4. Step 4: Simplify right side
   25,888x = 997,549,056
5. Step 5: Solve for x
   x = 997,549,056/25,888
6. Step 6: Final answer
   x = 38,533.26