Finding the Third Proportional to 32,470 and 50,138

Step by Step Solution

1. Step 1: Write the proportion equation
   32,470 : 50,138 = 50,138 : x
2. Step 2: Convert to fraction form
   32,470/50,138 = 50,138/x
3. Step 3: Cross multiply
   32,470x = 50,138 × 50,138
4. Step 4: Simplify right side
   32,470x = 2,513,819,044
5. Step 5: Solve for x
   x = 2,513,819,044/32,470
6. Step 6: Final answer
   x = 77,419.74