Finding the Third Proportional to 38,884.13 and 81,918.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,884.13 : 81,918.75 = 81,918.75 : x
2. Step 2: Convert to fraction form
   38,884.13/81,918.75 = 81,918.75/x
3. Step 3: Cross multiply
   38,884.13x = 81,918.75 × 81,918.75
4. Step 4: Simplify right side
   38,884.13x = 6,710,681,601.56
5. Step 5: Solve for x
   x = 6,710,681,601.56/38,884.13
6. Step 6: Final answer
   x = 172,581.53