Finding the Third Proportional to 33,914 and 52,572

Step by Step Solution

1. Step 1: Write the proportion equation
   33,914 : 52,572 = 52,572 : x
2. Step 2: Convert to fraction form
   33,914/52,572 = 52,572/x
3. Step 3: Cross multiply
   33,914x = 52,572 × 52,572
4. Step 4: Simplify right side
   33,914x = 2,763,815,184
5. Step 5: Solve for x
   x = 2,763,815,184/33,914
6. Step 6: Final answer
   x = 81,494.82