Finding the Third Proportional to 37,953 and 82,953

Step by Step Solution

1. Step 1: Write the proportion equation
   37,953 : 82,953 = 82,953 : x
2. Step 2: Convert to fraction form
   37,953/82,953 = 82,953/x
3. Step 3: Cross multiply
   37,953x = 82,953 × 82,953
4. Step 4: Simplify right side
   37,953x = 6,881,200,209
5. Step 5: Solve for x
   x = 6,881,200,209/37,953
6. Step 6: Final answer
   x = 181,308.47