Finding the Third Proportional to 38,637.28 and 82,378.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,637.28 : 82,378.13 = 82,378.13 : x
2. Step 2: Convert to fraction form
   38,637.28/82,378.13 = 82,378.13/x
3. Step 3: Cross multiply
   38,637.28x = 82,378.13 × 82,378.13
4. Step 4: Simplify right side
   38,637.28x = 6,786,155,478.52
5. Step 5: Solve for x
   x = 6,786,155,478.52/38,637.28
6. Step 6: Final answer
   x = 175,637.50