Finding the Third Proportional to 27,779.50 and 59,902.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,779.50 : 59,902.75 = 59,902.75 : x
2. Step 2: Convert to fraction form
   27,779.50/59,902.75 = 59,902.75/x
3. Step 3: Cross multiply
   27,779.50x = 59,902.75 × 59,902.75
4. Step 4: Simplify right side
   27,779.50x = 3,588,339,457.56
5. Step 5: Solve for x
   x = 3,588,339,457.56/27,779.50
6. Step 6: Final answer
   x = 129,172.21