Finding the Third Proportional to 57,586.50 and 87,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   57,586.50 : 87,779.25 = 87,779.25 : x
2. Step 2: Convert to fraction form
   57,586.50/87,779.25 = 87,779.25/x
3. Step 3: Cross multiply
   57,586.50x = 87,779.25 × 87,779.25
4. Step 4: Simplify right side
   57,586.50x = 7,705,196,730.56
5. Step 5: Solve for x
   x = 7,705,196,730.56/57,586.50
6. Step 6: Final answer
   x = 133,802.14