Finding the Third Proportional to 25,624 and 38,916

Step by Step Solution

1. Step 1: Write the proportion equation
   25,624 : 38,916 = 38,916 : x
2. Step 2: Convert to fraction form
   25,624/38,916 = 38,916/x
3. Step 3: Cross multiply
   25,624x = 38,916 × 38,916
4. Step 4: Simplify right side
   25,624x = 1,514,455,056
5. Step 5: Solve for x
   x = 1,514,455,056/25,624
6. Step 6: Final answer
   x = 59,102.99