Finding the Third Proportional to 43,506 and 65,091

Step by Step Solution

1. Step 1: Write the proportion equation
   43,506 : 65,091 = 65,091 : x
2. Step 2: Convert to fraction form
   43,506/65,091 = 65,091/x
3. Step 3: Cross multiply
   43,506x = 65,091 × 65,091
4. Step 4: Simplify right side
   43,506x = 4,236,838,281
5. Step 5: Solve for x
   x = 4,236,838,281/43,506
6. Step 6: Final answer
   x = 97,385.15