Finding the Third Proportional to 45,648 and 61,606

Step by Step Solution

1. Step 1: Write the proportion equation
   45,648 : 61,606 = 61,606 : x
2. Step 2: Convert to fraction form
   45,648/61,606 = 61,606/x
3. Step 3: Cross multiply
   45,648x = 61,606 × 61,606
4. Step 4: Simplify right side
   45,648x = 3,795,299,236
5. Step 5: Solve for x
   x = 3,795,299,236/45,648
6. Step 6: Final answer
   x = 83,142.73