Finding the Third Proportional to 37,364.25 and 80,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,364.25 : 80,834.25 = 80,834.25 : x
2. Step 2: Convert to fraction form
   37,364.25/80,834.25 = 80,834.25/x
3. Step 3: Cross multiply
   37,364.25x = 80,834.25 × 80,834.25
4. Step 4: Simplify right side
   37,364.25x = 6,534,175,973.06
5. Step 5: Solve for x
   x = 6,534,175,973.06/37,364.25
6. Step 6: Final answer
   x = 174,877.75