Finding the Third Proportional to 37,182 and 81,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,182 : 81,061.50 = 81,061.50 : x
2. Step 2: Convert to fraction form
   37,182/81,061.50 = 81,061.50/x
3. Step 3: Cross multiply
   37,182x = 81,061.50 × 81,061.50
4. Step 4: Simplify right side
   37,182x = 6,570,966,782.25
5. Step 5: Solve for x
   x = 6,570,966,782.25/37,182
6. Step 6: Final answer
   x = 176,724.40