Finding the Third Proportional to 38,112 and 89,070

Step by Step Solution

1. Step 1: Write the proportion equation
   38,112 : 89,070 = 89,070 : x
2. Step 2: Convert to fraction form
   38,112/89,070 = 89,070/x
3. Step 3: Cross multiply
   38,112x = 89,070 × 89,070
4. Step 4: Simplify right side
   38,112x = 7,933,464,900
5. Step 5: Solve for x
   x = 7,933,464,900/38,112
6. Step 6: Final answer
   x = 208,161.86