Finding the Third Proportional to 33,564 and 45,423

Step by Step Solution

1. Step 1: Write the proportion equation
   33,564 : 45,423 = 45,423 : x
2. Step 2: Convert to fraction form
   33,564/45,423 = 45,423/x
3. Step 3: Cross multiply
   33,564x = 45,423 × 45,423
4. Step 4: Simplify right side
   33,564x = 2,063,248,929
5. Step 5: Solve for x
   x = 2,063,248,929/33,564
6. Step 6: Final answer
   x = 61,472.08