Finding the Third Proportional to 38,808 and 83,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,808 : 83,844.50 = 83,844.50 : x
2. Step 2: Convert to fraction form
   38,808/83,844.50 = 83,844.50/x
3. Step 3: Cross multiply
   38,808x = 83,844.50 × 83,844.50
4. Step 4: Simplify right side
   38,808x = 7,029,900,180.25
5. Step 5: Solve for x
   x = 7,029,900,180.25/38,808
6. Step 6: Final answer
   x = 181,145.64