Finding the Third Proportional to 37,543.50 and 82,470

Step by Step Solution

1. Step 1: Write the proportion equation
   37,543.50 : 82,470 = 82,470 : x
2. Step 2: Convert to fraction form
   37,543.50/82,470 = 82,470/x
3. Step 3: Cross multiply
   37,543.50x = 82,470 × 82,470
4. Step 4: Simplify right side
   37,543.50x = 6,801,300,900
5. Step 5: Solve for x
   x = 6,801,300,900/37,543.50
6. Step 6: Final answer
   x = 181,157.88