Finding the Third Proportional to 38,088 and 85,008

Step by Step Solution

1. Step 1: Write the proportion equation
   38,088 : 85,008 = 85,008 : x
2. Step 2: Convert to fraction form
   38,088/85,008 = 85,008/x
3. Step 3: Cross multiply
   38,088x = 85,008 × 85,008
4. Step 4: Simplify right side
   38,088x = 7,226,360,064
5. Step 5: Solve for x
   x = 7,226,360,064/38,088
6. Step 6: Final answer
   x = 189,728