Finding the Third Proportional to 31,994.25 and 74,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994.25 : 74,742.75 = 74,742.75 : x
2. Step 2: Convert to fraction form
   31,994.25/74,742.75 = 74,742.75/x
3. Step 3: Cross multiply
   31,994.25x = 74,742.75 × 74,742.75
4. Step 4: Simplify right side
   31,994.25x = 5,586,478,677.56
5. Step 5: Solve for x
   x = 5,586,478,677.56/31,994.25
6. Step 6: Final answer
   x = 174,608.83