Finding the Third Proportional to 45,828 and 61,830

Step by Step Solution

1. Step 1: Write the proportion equation
   45,828 : 61,830 = 61,830 : x
2. Step 2: Convert to fraction form
   45,828/61,830 = 61,830/x
3. Step 3: Cross multiply
   45,828x = 61,830 × 61,830
4. Step 4: Simplify right side
   45,828x = 3,822,948,900
5. Step 5: Solve for x
   x = 3,822,948,900/45,828
6. Step 6: Final answer
   x = 83,419.50