Finding the Third Proportional to 37,485 and 81,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,485 : 81,499.50 = 81,499.50 : x
2. Step 2: Convert to fraction form
   37,485/81,499.50 = 81,499.50/x
3. Step 3: Cross multiply
   37,485x = 81,499.50 × 81,499.50
4. Step 4: Simplify right side
   37,485x = 6,642,168,500.25
5. Step 5: Solve for x
   x = 6,642,168,500.25/37,485
6. Step 6: Final answer
   x = 177,195.37