Finding the Third Proportional to 42,946 and 61,856

Step by Step Solution

1. Step 1: Write the proportion equation
   42,946 : 61,856 = 61,856 : x
2. Step 2: Convert to fraction form
   42,946/61,856 = 61,856/x
3. Step 3: Cross multiply
   42,946x = 61,856 × 61,856
4. Step 4: Simplify right side
   42,946x = 3,826,164,736
5. Step 5: Solve for x
   x = 3,826,164,736/42,946
6. Step 6: Final answer
   x = 89,092.46