Finding the Third Proportional to 37,216.13 and 81,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,216.13 : 81,123.75 = 81,123.75 : x
2. Step 2: Convert to fraction form
   37,216.13/81,123.75 = 81,123.75/x
3. Step 3: Cross multiply
   37,216.13x = 81,123.75 × 81,123.75
4. Step 4: Simplify right side
   37,216.13x = 6,581,062,814.06
5. Step 5: Solve for x
   x = 6,581,062,814.06/37,216.13
6. Step 6: Final answer
   x = 176,833.64