Finding the Third Proportional to 23,838 and 45,507

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 45,507 = 45,507 : x
2. Step 2: Convert to fraction form
   23,838/45,507 = 45,507/x
3. Step 3: Cross multiply
   23,838x = 45,507 × 45,507
4. Step 4: Simplify right side
   23,838x = 2,070,887,049
5. Step 5: Solve for x
   x = 2,070,887,049/23,838
6. Step 6: Final answer
   x = 86,873.36