Finding the Third Proportional to 37,154 and 83,765

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 83,765 = 83,765 : x
2. Step 2: Convert to fraction form
   37,154/83,765 = 83,765/x
3. Step 3: Cross multiply
   37,154x = 83,765 × 83,765
4. Step 4: Simplify right side
   37,154x = 7,016,575,225
5. Step 5: Solve for x
   x = 7,016,575,225/37,154
6. Step 6: Final answer
   x = 188,851.14