Finding the Third Proportional to 38,208.59 and 83,798.30

Step by Step Solution

1. Step 1: Write the proportion equation
   38,208.59 : 83,798.30 = 83,798.30 : x
2. Step 2: Convert to fraction form
   38,208.59/83,798.30 = 83,798.30/x
3. Step 3: Cross multiply
   38,208.59x = 83,798.30 × 83,798.30
4. Step 4: Simplify right side
   38,208.59x = 7,022,154,559.15
5. Step 5: Solve for x
   x = 7,022,154,559.15/38,208.59
6. Step 6: Final answer
   x = 183,784.73