Finding the Third Proportional to 37,954.88 and 81,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,954.88 : 81,164.06 = 81,164.06 : x
2. Step 2: Convert to fraction form
   37,954.88/81,164.06 = 81,164.06/x
3. Step 3: Cross multiply
   37,954.88x = 81,164.06 × 81,164.06
4. Step 4: Simplify right side
   37,954.88x = 6,587,605,041.50
5. Step 5: Solve for x
   x = 6,587,605,041.50/37,954.88
6. Step 6: Final answer
   x = 173,564.13