Finding the Third Proportional to 61,230 and 86,664

Step by Step Solution

1. Step 1: Write the proportion equation
   61,230 : 86,664 = 86,664 : x
2. Step 2: Convert to fraction form
   61,230/86,664 = 86,664/x
3. Step 3: Cross multiply
   61,230x = 86,664 × 86,664
4. Step 4: Simplify right side
   61,230x = 7,510,648,896
5. Step 5: Solve for x
   x = 7,510,648,896/61,230
6. Step 6: Final answer
   x = 122,662.89