Finding the Third Proportional to 21,160 and 45,965

Step by Step Solution

1. Step 1: Write the proportion equation
   21,160 : 45,965 = 45,965 : x
2. Step 2: Convert to fraction form
   21,160/45,965 = 45,965/x
3. Step 3: Cross multiply
   21,160x = 45,965 × 45,965
4. Step 4: Simplify right side
   21,160x = 2,112,781,225
5. Step 5: Solve for x
   x = 2,112,781,225/21,160
6. Step 6: Final answer
   x = 99,847.88