Finding the Third Proportional to 15,588 and 33,972

Step by Step Solution

1. Step 1: Write the proportion equation
   15,588 : 33,972 = 33,972 : x
2. Step 2: Convert to fraction form
   15,588/33,972 = 33,972/x
3. Step 3: Cross multiply
   15,588x = 33,972 × 33,972
4. Step 4: Simplify right side
   15,588x = 1,154,096,784
5. Step 5: Solve for x
   x = 1,154,096,784/15,588
6. Step 6: Final answer
   x = 74,037.52