Finding the Third Proportional to 40,213 and 59,149

Step by Step Solution

1. Step 1: Write the proportion equation
   40,213 : 59,149 = 59,149 : x
2. Step 2: Convert to fraction form
   40,213/59,149 = 59,149/x
3. Step 3: Cross multiply
   40,213x = 59,149 × 59,149
4. Step 4: Simplify right side
   40,213x = 3,498,604,201
5. Step 5: Solve for x
   x = 3,498,604,201/40,213
6. Step 6: Final answer
   x = 87,001.82