Finding the Third Proportional to 33,588 and 70,625.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 70,625.25 = 70,625.25 : x
2. Step 2: Convert to fraction form
   33,588/70,625.25 = 70,625.25/x
3. Step 3: Cross multiply
   33,588x = 70,625.25 × 70,625.25
4. Step 4: Simplify right side
   33,588x = 4,987,925,937.56
5. Step 5: Solve for x
   x = 4,987,925,937.56/33,588
6. Step 6: Final answer
   x = 148,503.21