Finding the Third Proportional to 38,830 and 85,010

Step by Step Solution

1. Step 1: Write the proportion equation
   38,830 : 85,010 = 85,010 : x
2. Step 2: Convert to fraction form
   38,830/85,010 = 85,010/x
3. Step 3: Cross multiply
   38,830x = 85,010 × 85,010
4. Step 4: Simplify right side
   38,830x = 7,226,700,100
5. Step 5: Solve for x
   x = 7,226,700,100/38,830
6. Step 6: Final answer
   x = 186,111.26