Finding the Third Proportional to 15,746.50 and 32,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,746.50 : 32,829.50 = 32,829.50 : x
2. Step 2: Convert to fraction form
   15,746.50/32,829.50 = 32,829.50/x
3. Step 3: Cross multiply
   15,746.50x = 32,829.50 × 32,829.50
4. Step 4: Simplify right side
   15,746.50x = 1,077,776,070.25
5. Step 5: Solve for x
   x = 1,077,776,070.25/15,746.50
6. Step 6: Final answer
   x = 68,445.44