Finding the Third Proportional to 37,653.75 and 81,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,653.75 : 81,506.50 = 81,506.50 : x
2. Step 2: Convert to fraction form
   37,653.75/81,506.50 = 81,506.50/x
3. Step 3: Cross multiply
   37,653.75x = 81,506.50 × 81,506.50
4. Step 4: Simplify right side
   37,653.75x = 6,643,309,542.25
5. Step 5: Solve for x
   x = 6,643,309,542.25/37,653.75
6. Step 6: Final answer
   x = 176,431.55