Finding the Third Proportional to 38,070 and 89,991

Step by Step Solution

1. Step 1: Write the proportion equation
   38,070 : 89,991 = 89,991 : x
2. Step 2: Convert to fraction form
   38,070/89,991 = 89,991/x
3. Step 3: Cross multiply
   38,070x = 89,991 × 89,991
4. Step 4: Simplify right side
   38,070x = 8,098,380,081
5. Step 5: Solve for x
   x = 8,098,380,081/38,070
6. Step 6: Final answer
   x = 212,723.41