Finding the Third Proportional to 42,641 and 63,966

Step by Step Solution

1. Step 1: Write the proportion equation
   42,641 : 63,966 = 63,966 : x
2. Step 2: Convert to fraction form
   42,641/63,966 = 63,966/x
3. Step 3: Cross multiply
   42,641x = 63,966 × 63,966
4. Step 4: Simplify right side
   42,641x = 4,091,649,156
5. Step 5: Solve for x
   x = 4,091,649,156/42,641
6. Step 6: Final answer
   x = 95,955.75