Finding the Third Proportional to 37,258 and 81,086

Step by Step Solution

1. Step 1: Write the proportion equation
   37,258 : 81,086 = 81,086 : x
2. Step 2: Convert to fraction form
   37,258/81,086 = 81,086/x
3. Step 3: Cross multiply
   37,258x = 81,086 × 81,086
4. Step 4: Simplify right side
   37,258x = 6,574,939,396
5. Step 5: Solve for x
   x = 6,574,939,396/37,258
6. Step 6: Final answer
   x = 176,470.54