Finding the Third Proportional to 38,119.50 and 83,598.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,119.50 : 83,598.75 = 83,598.75 : x
2. Step 2: Convert to fraction form
   38,119.50/83,598.75 = 83,598.75/x
3. Step 3: Cross multiply
   38,119.50x = 83,598.75 × 83,598.75
4. Step 4: Simplify right side
   38,119.50x = 6,988,751,001.56
5. Step 5: Solve for x
   x = 6,988,751,001.56/38,119.50
6. Step 6: Final answer
   x = 183,337.95