Finding the Third Proportional to 37,948.50 and 83,187

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948.50 : 83,187 = 83,187 : x
2. Step 2: Convert to fraction form
   37,948.50/83,187 = 83,187/x
3. Step 3: Cross multiply
   37,948.50x = 83,187 × 83,187
4. Step 4: Simplify right side
   37,948.50x = 6,920,076,969
5. Step 5: Solve for x
   x = 6,920,076,969/37,948.50
6. Step 6: Final answer
   x = 182,354.43