Finding the Third Proportional to 37,645 and 81,850

Step by Step Solution

1. Step 1: Write the proportion equation
   37,645 : 81,850 = 81,850 : x
2. Step 2: Convert to fraction form
   37,645/81,850 = 81,850/x
3. Step 3: Cross multiply
   37,645x = 81,850 × 81,850
4. Step 4: Simplify right side
   37,645x = 6,699,422,500
5. Step 5: Solve for x
   x = 6,699,422,500/37,645
6. Step 6: Final answer
   x = 177,963.14