Finding the Third Proportional to 37,972.55 and 83,096.72

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972.55 : 83,096.72 = 83,096.72 : x
2. Step 2: Convert to fraction form
   37,972.55/83,096.72 = 83,096.72/x
3. Step 3: Cross multiply
   37,972.55x = 83,096.72 × 83,096.72
4. Step 4: Simplify right side
   37,972.55x = 6,905,064,667.02
5. Step 5: Solve for x
   x = 6,905,064,667.02/37,972.55
6. Step 6: Final answer
   x = 181,843.60