Finding the Third Proportional to 49,587.75 and 75,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,587.75 : 75,541.50 = 75,541.50 : x
2. Step 2: Convert to fraction form
   49,587.75/75,541.50 = 75,541.50/x
3. Step 3: Cross multiply
   49,587.75x = 75,541.50 × 75,541.50
4. Step 4: Simplify right side
   49,587.75x = 5,706,518,222.25
5. Step 5: Solve for x
   x = 5,706,518,222.25/49,587.75
6. Step 6: Final answer
   x = 115,079.19