Finding the Third Proportional to 37,945.13 and 83,531.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,945.13 : 83,531.25 = 83,531.25 : x
2. Step 2: Convert to fraction form
   37,945.13/83,531.25 = 83,531.25/x
3. Step 3: Cross multiply
   37,945.13x = 83,531.25 × 83,531.25
4. Step 4: Simplify right side
   37,945.13x = 6,977,469,726.56
5. Step 5: Solve for x
   x = 6,977,469,726.56/37,945.13
6. Step 6: Final answer
   x = 183,883.17