Finding the Third Proportional to 37,620 and 81,719.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,620 : 81,719.25 = 81,719.25 : x
2. Step 2: Convert to fraction form
   37,620/81,719.25 = 81,719.25/x
3. Step 3: Cross multiply
   37,620x = 81,719.25 × 81,719.25
4. Step 4: Simplify right side
   37,620x = 6,678,035,820.56
5. Step 5: Solve for x
   x = 6,678,035,820.56/37,620
6. Step 6: Final answer
   x = 177,512.91