Finding the Third Proportional to 49,831.50 and 83,052

Step by Step Solution

1. Step 1: Write the proportion equation
   49,831.50 : 83,052 = 83,052 : x
2. Step 2: Convert to fraction form
   49,831.50/83,052 = 83,052/x
3. Step 3: Cross multiply
   49,831.50x = 83,052 × 83,052
4. Step 4: Simplify right side
   49,831.50x = 6,897,634,704
5. Step 5: Solve for x
   x = 6,897,634,704/49,831.50
6. Step 6: Final answer
   x = 138,419.17