Finding the Third Proportional to 32,085 and 49,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,085 : 49,585.50 = 49,585.50 : x
2. Step 2: Convert to fraction form
   32,085/49,585.50 = 49,585.50/x
3. Step 3: Cross multiply
   32,085x = 49,585.50 × 49,585.50
4. Step 4: Simplify right side
   32,085x = 2,458,721,810.25
5. Step 5: Solve for x
   x = 2,458,721,810.25/32,085
6. Step 6: Final answer
   x = 76,631.50