Finding the Third Proportional to 46,460 and 71,085

Step by Step Solution

1. Step 1: Write the proportion equation
   46,460 : 71,085 = 71,085 : x
2. Step 2: Convert to fraction form
   46,460/71,085 = 71,085/x
3. Step 3: Cross multiply
   46,460x = 71,085 × 71,085
4. Step 4: Simplify right side
   46,460x = 5,053,077,225
5. Step 5: Solve for x
   x = 5,053,077,225/46,460
6. Step 6: Final answer
   x = 108,761.89