Finding the Third Proportional to 59,218 and 76,829

Step by Step Solution

1. Step 1: Write the proportion equation
   59,218 : 76,829 = 76,829 : x
2. Step 2: Convert to fraction form
   59,218/76,829 = 76,829/x
3. Step 3: Cross multiply
   59,218x = 76,829 × 76,829
4. Step 4: Simplify right side
   59,218x = 5,902,695,241
5. Step 5: Solve for x
   x = 5,902,695,241/59,218
6. Step 6: Final answer
   x = 99,677.38