Finding the Third Proportional to 13,729.50 and 34,779.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 34,779.38 = 34,779.38 : x
2. Step 2: Convert to fraction form
   13,729.50/34,779.38 = 34,779.38/x
3. Step 3: Cross multiply
   13,729.50x = 34,779.38 × 34,779.38
4. Step 4: Simplify right side
   13,729.50x = 1,209,604,925.39
5. Step 5: Solve for x
   x = 1,209,604,925.39/13,729.50
6. Step 6: Final answer
   x = 88,102.62