Finding the Third Proportional to 23,876 and 37,646

Step by Step Solution

1. Step 1: Write the proportion equation
   23,876 : 37,646 = 37,646 : x
2. Step 2: Convert to fraction form
   23,876/37,646 = 37,646/x
3. Step 3: Cross multiply
   23,876x = 37,646 × 37,646
4. Step 4: Simplify right side
   23,876x = 1,417,221,316
5. Step 5: Solve for x
   x = 1,417,221,316/23,876
6. Step 6: Final answer
   x = 59,357.57