Finding the Third Proportional to 37,966 and 61,003

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966 : 61,003 = 61,003 : x
2. Step 2: Convert to fraction form
   37,966/61,003 = 61,003/x
3. Step 3: Cross multiply
   37,966x = 61,003 × 61,003
4. Step 4: Simplify right side
   37,966x = 3,721,366,009
5. Step 5: Solve for x
   x = 3,721,366,009/37,966
6. Step 6: Final answer
   x = 98,018.39