Finding the Third Proportional to 23,553 and 32,413

Step by Step Solution

1. Step 1: Write the proportion equation
   23,553 : 32,413 = 32,413 : x
2. Step 2: Convert to fraction form
   23,553/32,413 = 32,413/x
3. Step 3: Cross multiply
   23,553x = 32,413 × 32,413
4. Step 4: Simplify right side
   23,553x = 1,050,602,569
5. Step 5: Solve for x
   x = 1,050,602,569/23,553
6. Step 6: Final answer
   x = 44,605.89