Finding the Third Proportional to 33,566 and 45,426

Step by Step Solution

1. Step 1: Write the proportion equation
   33,566 : 45,426 = 45,426 : x
2. Step 2: Convert to fraction form
   33,566/45,426 = 45,426/x
3. Step 3: Cross multiply
   33,566x = 45,426 × 45,426
4. Step 4: Simplify right side
   33,566x = 2,063,521,476
5. Step 5: Solve for x
   x = 2,063,521,476/33,566
6. Step 6: Final answer
   x = 61,476.54