Finding the Third Proportional to 38,392 and 89,752

Step by Step Solution

1. Step 1: Write the proportion equation
   38,392 : 89,752 = 89,752 : x
2. Step 2: Convert to fraction form
   38,392/89,752 = 89,752/x
3. Step 3: Cross multiply
   38,392x = 89,752 × 89,752
4. Step 4: Simplify right side
   38,392x = 8,055,421,504
5. Step 5: Solve for x
   x = 8,055,421,504/38,392
6. Step 6: Final answer
   x = 209,820.31