Finding the Third Proportional to 38,066 and 83,536

Step by Step Solution

1. Step 1: Write the proportion equation
   38,066 : 83,536 = 83,536 : x
2. Step 2: Convert to fraction form
   38,066/83,536 = 83,536/x
3. Step 3: Cross multiply
   38,066x = 83,536 × 83,536
4. Step 4: Simplify right side
   38,066x = 6,978,263,296
5. Step 5: Solve for x
   x = 6,978,263,296/38,066
6. Step 6: Final answer
   x = 183,320.11