Finding the Third Proportional to 34,641 and 72,765

Step by Step Solution

1. Step 1: Write the proportion equation
   34,641 : 72,765 = 72,765 : x
2. Step 2: Convert to fraction form
   34,641/72,765 = 72,765/x
3. Step 3: Cross multiply
   34,641x = 72,765 × 72,765
4. Step 4: Simplify right side
   34,641x = 5,294,745,225
5. Step 5: Solve for x
   x = 5,294,745,225/34,641
6. Step 6: Final answer
   x = 152,846.20