Finding the Third Proportional to 59,641 and 89,461

Step by Step Solution

1. Step 1: Write the proportion equation
   59,641 : 89,461 = 89,461 : x
2. Step 2: Convert to fraction form
   59,641/89,461 = 89,461/x
3. Step 3: Cross multiply
   59,641x = 89,461 × 89,461
4. Step 4: Simplify right side
   59,641x = 8,003,270,521
5. Step 5: Solve for x
   x = 8,003,270,521/59,641
6. Step 6: Final answer
   x = 134,190.75