Finding the Third Proportional to 31,726 and 75,160

Step by Step Solution

1. Step 1: Write the proportion equation
   31,726 : 75,160 = 75,160 : x
2. Step 2: Convert to fraction form
   31,726/75,160 = 75,160/x
3. Step 3: Cross multiply
   31,726x = 75,160 × 75,160
4. Step 4: Simplify right side
   31,726x = 5,649,025,600
5. Step 5: Solve for x
   x = 5,649,025,600/31,726
6. Step 6: Final answer
   x = 178,056.66