Finding the Third Proportional to 37,543.50 and 81,627.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,543.50 : 81,627.75 = 81,627.75 : x
2. Step 2: Convert to fraction form
   37,543.50/81,627.75 = 81,627.75/x
3. Step 3: Cross multiply
   37,543.50x = 81,627.75 × 81,627.75
4. Step 4: Simplify right side
   37,543.50x = 6,663,089,570.06
5. Step 5: Solve for x
   x = 6,663,089,570.06/37,543.50
6. Step 6: Final answer
   x = 177,476.52