Finding the Third Proportional to 32,138 and 49,429

Step by Step Solution

1. Step 1: Write the proportion equation
   32,138 : 49,429 = 49,429 : x
2. Step 2: Convert to fraction form
   32,138/49,429 = 49,429/x
3. Step 3: Cross multiply
   32,138x = 49,429 × 49,429
4. Step 4: Simplify right side
   32,138x = 2,443,226,041
5. Step 5: Solve for x
   x = 2,443,226,041/32,138
6. Step 6: Final answer
   x = 76,022.96