Finding the Third Proportional to 42,892.25 and 61,878

Step by Step Solution

1. Step 1: Write the proportion equation
   42,892.25 : 61,878 = 61,878 : x
2. Step 2: Convert to fraction form
   42,892.25/61,878 = 61,878/x
3. Step 3: Cross multiply
   42,892.25x = 61,878 × 61,878
4. Step 4: Simplify right side
   42,892.25x = 3,828,886,884
5. Step 5: Solve for x
   x = 3,828,886,884/42,892.25
6. Step 6: Final answer
   x = 89,267.57