Finding the Third Proportional to 17,461 and 37,711

Step by Step Solution

1. Step 1: Write the proportion equation
   17,461 : 37,711 = 37,711 : x
2. Step 2: Convert to fraction form
   17,461/37,711 = 37,711/x
3. Step 3: Cross multiply
   17,461x = 37,711 × 37,711
4. Step 4: Simplify right side
   17,461x = 1,422,119,521
5. Step 5: Solve for x
   x = 1,422,119,521/17,461
6. Step 6: Final answer
   x = 81,445.48