Finding the Third Proportional to 37,658.25 and 81,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,658.25 : 81,146.25 = 81,146.25 : x
2. Step 2: Convert to fraction form
   37,658.25/81,146.25 = 81,146.25/x
3. Step 3: Cross multiply
   37,658.25x = 81,146.25 × 81,146.25
4. Step 4: Simplify right side
   37,658.25x = 6,584,713,889.06
5. Step 5: Solve for x
   x = 6,584,713,889.06/37,658.25
6. Step 6: Final answer
   x = 174,854.48