Finding the Third Proportional to 37,897.50 and 82,431

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897.50 : 82,431 = 82,431 : x
2. Step 2: Convert to fraction form
   37,897.50/82,431 = 82,431/x
3. Step 3: Cross multiply
   37,897.50x = 82,431 × 82,431
4. Step 4: Simplify right side
   37,897.50x = 6,794,869,761
5. Step 5: Solve for x
   x = 6,794,869,761/37,897.50
6. Step 6: Final answer
   x = 179,295.99