Finding the Third Proportional to 31,428 and 67,878

Step by Step Solution

1. Step 1: Write the proportion equation
   31,428 : 67,878 = 67,878 : x
2. Step 2: Convert to fraction form
   31,428/67,878 = 67,878/x
3. Step 3: Cross multiply
   31,428x = 67,878 × 67,878
4. Step 4: Simplify right side
   31,428x = 4,607,422,884
5. Step 5: Solve for x
   x = 4,607,422,884/31,428
6. Step 6: Final answer
   x = 146,602.48