Finding the Third Proportional to 42,466.50 and 65,886.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466.50 : 65,886.75 = 65,886.75 : x
2. Step 2: Convert to fraction form
   42,466.50/65,886.75 = 65,886.75/x
3. Step 3: Cross multiply
   42,466.50x = 65,886.75 × 65,886.75
4. Step 4: Simplify right side
   42,466.50x = 4,341,063,825.56
5. Step 5: Solve for x
   x = 4,341,063,825.56/42,466.50
6. Step 6: Final answer
   x = 102,223.25