Finding the Third Proportional to 37,122.75 and 75,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,122.75 : 75,541.50 = 75,541.50 : x
2. Step 2: Convert to fraction form
   37,122.75/75,541.50 = 75,541.50/x
3. Step 3: Cross multiply
   37,122.75x = 75,541.50 × 75,541.50
4. Step 4: Simplify right side
   37,122.75x = 5,706,518,222.25
5. Step 5: Solve for x
   x = 5,706,518,222.25/37,122.75
6. Step 6: Final answer
   x = 153,720.24