Finding the Third Proportional to 37,134.25 and 77,328.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,134.25 : 77,328.25 = 77,328.25 : x
2. Step 2: Convert to fraction form
   37,134.25/77,328.25 = 77,328.25/x
3. Step 3: Cross multiply
   37,134.25x = 77,328.25 × 77,328.25
4. Step 4: Simplify right side
   37,134.25x = 5,979,658,248.06
5. Step 5: Solve for x
   x = 5,979,658,248.06/37,134.25
6. Step 6: Final answer
   x = 161,028.11