Finding the Third Proportional to 32,148 and 49,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,148 : 49,148.50 = 49,148.50 : x
2. Step 2: Convert to fraction form
   32,148/49,148.50 = 49,148.50/x
3. Step 3: Cross multiply
   32,148x = 49,148.50 × 49,148.50
4. Step 4: Simplify right side
   32,148x = 2,415,575,052.25
5. Step 5: Solve for x
   x = 2,415,575,052.25/32,148
6. Step 6: Final answer
   x = 75,139.20