Finding the Third Proportional to 40,680 and 61,454

Step by Step Solution

1. Step 1: Write the proportion equation
   40,680 : 61,454 = 61,454 : x
2. Step 2: Convert to fraction form
   40,680/61,454 = 61,454/x
3. Step 3: Cross multiply
   40,680x = 61,454 × 61,454
4. Step 4: Simplify right side
   40,680x = 3,776,594,116
5. Step 5: Solve for x
   x = 3,776,594,116/40,680
6. Step 6: Final answer
   x = 92,836.63