Finding the Third Proportional to 37,134.75 and 77,329.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,134.75 : 77,329.25 = 77,329.25 : x
2. Step 2: Convert to fraction form
   37,134.75/77,329.25 = 77,329.25/x
3. Step 3: Cross multiply
   37,134.75x = 77,329.25 × 77,329.25
4. Step 4: Simplify right side
   37,134.75x = 5,979,812,905.56
5. Step 5: Solve for x
   x = 5,979,812,905.56/37,134.75
6. Step 6: Final answer
   x = 161,030.11