Finding the Third Proportional to 38,088 and 89,010

Step by Step Solution

1. Step 1: Write the proportion equation
   38,088 : 89,010 = 89,010 : x
2. Step 2: Convert to fraction form
   38,088/89,010 = 89,010/x
3. Step 3: Cross multiply
   38,088x = 89,010 × 89,010
4. Step 4: Simplify right side
   38,088x = 7,922,780,100
5. Step 5: Solve for x
   x = 7,922,780,100/38,088
6. Step 6: Final answer
   x = 208,012.50