Finding the Third Proportional to 42,966 and 64,761

Step by Step Solution

1. Step 1: Write the proportion equation
   42,966 : 64,761 = 64,761 : x
2. Step 2: Convert to fraction form
   42,966/64,761 = 64,761/x
3. Step 3: Cross multiply
   42,966x = 64,761 × 64,761
4. Step 4: Simplify right side
   42,966x = 4,193,987,121
5. Step 5: Solve for x
   x = 4,193,987,121/42,966
6. Step 6: Final answer
   x = 97,611.77