Finding the Third Proportional to 47,538 and 89,082

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 89,082 = 89,082 : x
2. Step 2: Convert to fraction form
   47,538/89,082 = 89,082/x
3. Step 3: Cross multiply
   47,538x = 89,082 × 89,082
4. Step 4: Simplify right side
   47,538x = 7,935,602,724
5. Step 5: Solve for x
   x = 7,935,602,724/47,538
6. Step 6: Final answer
   x = 166,931.78