Finding the Third Proportional to 38,748.38 and 83,693.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,748.38 : 83,693.25 = 83,693.25 : x
2. Step 2: Convert to fraction form
   38,748.38/83,693.25 = 83,693.25/x
3. Step 3: Cross multiply
   38,748.38x = 83,693.25 × 83,693.25
4. Step 4: Simplify right side
   38,748.38x = 7,004,560,095.56
5. Step 5: Solve for x
   x = 7,004,560,095.56/38,748.38
6. Step 6: Final answer
   x = 180,770.42