Finding the Third Proportional to 37,444.13 and 81,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,444.13 : 81,500.50 = 81,500.50 : x
2. Step 2: Convert to fraction form
   37,444.13/81,500.50 = 81,500.50/x
3. Step 3: Cross multiply
   37,444.13x = 81,500.50 × 81,500.50
4. Step 4: Simplify right side
   37,444.13x = 6,642,331,500.25
5. Step 5: Solve for x
   x = 6,642,331,500.25/37,444.13
6. Step 6: Final answer
   x = 177,393.16