Finding the Third Proportional to 45,834 and 61,839

Step by Step Solution

1. Step 1: Write the proportion equation
   45,834 : 61,839 = 61,839 : x
2. Step 2: Convert to fraction form
   45,834/61,839 = 61,839/x
3. Step 3: Cross multiply
   45,834x = 61,839 × 61,839
4. Step 4: Simplify right side
   45,834x = 3,824,061,921
5. Step 5: Solve for x
   x = 3,824,061,921/45,834
6. Step 6: Final answer
   x = 83,432.86