Finding the Third Proportional to 38,870 and 83,950

Step by Step Solution

1. Step 1: Write the proportion equation
   38,870 : 83,950 = 83,950 : x
2. Step 2: Convert to fraction form
   38,870/83,950 = 83,950/x
3. Step 3: Cross multiply
   38,870x = 83,950 × 83,950
4. Step 4: Simplify right side
   38,870x = 7,047,602,500
5. Step 5: Solve for x
   x = 7,047,602,500/38,870
6. Step 6: Final answer
   x = 181,312.13