Finding the Third Proportional to 55,635 and 83,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,635 : 83,929.50 = 83,929.50 : x
2. Step 2: Convert to fraction form
   55,635/83,929.50 = 83,929.50/x
3. Step 3: Cross multiply
   55,635x = 83,929.50 × 83,929.50
4. Step 4: Simplify right side
   55,635x = 7,044,160,970.25
5. Step 5: Solve for x
   x = 7,044,160,970.25/55,635
6. Step 6: Final answer
   x = 126,613.84