Finding the Third Proportional to 17,784 and 33,312

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 33,312 = 33,312 : x
2. Step 2: Convert to fraction form
   17,784/33,312 = 33,312/x
3. Step 3: Cross multiply
   17,784x = 33,312 × 33,312
4. Step 4: Simplify right side
   17,784x = 1,109,689,344
5. Step 5: Solve for x
   x = 1,109,689,344/17,784
6. Step 6: Final answer
   x = 62,398.19