Finding the Third Proportional to 37,656 and 81,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 81,148.50 = 81,148.50 : x
2. Step 2: Convert to fraction form
   37,656/81,148.50 = 81,148.50/x
3. Step 3: Cross multiply
   37,656x = 81,148.50 × 81,148.50
4. Step 4: Simplify right side
   37,656x = 6,585,079,052.25
5. Step 5: Solve for x
   x = 6,585,079,052.25/37,656
6. Step 6: Final answer
   x = 174,874.63