Finding the Third Proportional to 38,235 and 83,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,235 : 83,857.50 = 83,857.50 : x
2. Step 2: Convert to fraction form
   38,235/83,857.50 = 83,857.50/x
3. Step 3: Cross multiply
   38,235x = 83,857.50 × 83,857.50
4. Step 4: Simplify right side
   38,235x = 7,032,080,306.25
5. Step 5: Solve for x
   x = 7,032,080,306.25/38,235
6. Step 6: Final answer
   x = 183,917.36