Finding the Third Proportional to 38,816.16 and 83,165.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,816.16 : 83,165.63 = 83,165.63 : x
2. Step 2: Convert to fraction form
   38,816.16/83,165.63 = 83,165.63/x
3. Step 3: Cross multiply
   38,816.16x = 83,165.63 × 83,165.63
4. Step 4: Simplify right side
   38,816.16x = 6,916,521,181.64
5. Step 5: Solve for x
   x = 6,916,521,181.64/38,816.16
6. Step 6: Final answer
   x = 178,186.66