Finding the Third Proportional to 37,938 and 83,088

Step by Step Solution

1. Step 1: Write the proportion equation
   37,938 : 83,088 = 83,088 : x
2. Step 2: Convert to fraction form
   37,938/83,088 = 83,088/x
3. Step 3: Cross multiply
   37,938x = 83,088 × 83,088
4. Step 4: Simplify right side
   37,938x = 6,903,615,744
5. Step 5: Solve for x
   x = 6,903,615,744/37,938
6. Step 6: Final answer
   x = 181,971.00