Finding the Third Proportional to 37,810 and 83,132

Step by Step Solution

1. Step 1: Write the proportion equation
   37,810 : 83,132 = 83,132 : x
2. Step 2: Convert to fraction form
   37,810/83,132 = 83,132/x
3. Step 3: Cross multiply
   37,810x = 83,132 × 83,132
4. Step 4: Simplify right side
   37,810x = 6,910,929,424
5. Step 5: Solve for x
   x = 6,910,929,424/37,810
6. Step 6: Final answer
   x = 182,780.47