Finding the Third Proportional to 37,776 and 82,938

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 82,938 = 82,938 : x
2. Step 2: Convert to fraction form
   37,776/82,938 = 82,938/x
3. Step 3: Cross multiply
   37,776x = 82,938 × 82,938
4. Step 4: Simplify right side
   37,776x = 6,878,711,844
5. Step 5: Solve for x
   x = 6,878,711,844/37,776
6. Step 6: Final answer
   x = 182,092.12