Finding the Third Proportional to 37,710.75 and 82,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,710.75 : 82,954.50 = 82,954.50 : x
2. Step 2: Convert to fraction form
   37,710.75/82,954.50 = 82,954.50/x
3. Step 3: Cross multiply
   37,710.75x = 82,954.50 × 82,954.50
4. Step 4: Simplify right side
   37,710.75x = 6,881,449,070.25
5. Step 5: Solve for x
   x = 6,881,449,070.25/37,710.75
6. Step 6: Final answer
   x = 182,479.77