Finding the Third Proportional to 38,160 and 83,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,160 : 83,099.25 = 83,099.25 : x
2. Step 2: Convert to fraction form
   38,160/83,099.25 = 83,099.25/x
3. Step 3: Cross multiply
   38,160x = 83,099.25 × 83,099.25
4. Step 4: Simplify right side
   38,160x = 6,905,485,350.56
5. Step 5: Solve for x
   x = 6,905,485,350.56/38,160
6. Step 6: Final answer
   x = 180,961.36