Finding the Third Proportional to 48,697 and 65,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,697 : 65,026.50 = 65,026.50 : x
2. Step 2: Convert to fraction form
   48,697/65,026.50 = 65,026.50/x
3. Step 3: Cross multiply
   48,697x = 65,026.50 × 65,026.50
4. Step 4: Simplify right side
   48,697x = 4,228,445,702.25
5. Step 5: Solve for x
   x = 4,228,445,702.25/48,697
6. Step 6: Final answer
   x = 86,831.75