Finding the Third Proportional to 42,138 and 61,650

Step by Step Solution

1. Step 1: Write the proportion equation
   42,138 : 61,650 = 61,650 : x
2. Step 2: Convert to fraction form
   42,138/61,650 = 61,650/x
3. Step 3: Cross multiply
   42,138x = 61,650 × 61,650
4. Step 4: Simplify right side
   42,138x = 3,800,722,500
5. Step 5: Solve for x
   x = 3,800,722,500/42,138
6. Step 6: Final answer
   x = 90,197.03