Finding the Third Proportional to 72,974.25 and 109,991.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,974.25 : 109,991.25 = 109,991.25 : x
2. Step 2: Convert to fraction form
   72,974.25/109,991.25 = 109,991.25/x
3. Step 3: Cross multiply
   72,974.25x = 109,991.25 × 109,991.25
4. Step 4: Simplify right side
   72,974.25x = 12,098,075,076.56
5. Step 5: Solve for x
   x = 12,098,075,076.56/72,974.25
6. Step 6: Final answer
   x = 165,785.53