Finding the Third Proportional to 38,370 and 83,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,370 : 83,719.50 = 83,719.50 : x
2. Step 2: Convert to fraction form
   38,370/83,719.50 = 83,719.50/x
3. Step 3: Cross multiply
   38,370x = 83,719.50 × 83,719.50
4. Step 4: Simplify right side
   38,370x = 7,008,954,680.25
5. Step 5: Solve for x
   x = 7,008,954,680.25/38,370
6. Step 6: Final answer
   x = 182,667.57