Finding the Third Proportional to 27,636.75 and 64,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,636.75 : 64,966.50 = 64,966.50 : x
2. Step 2: Convert to fraction form
   27,636.75/64,966.50 = 64,966.50/x
3. Step 3: Cross multiply
   27,636.75x = 64,966.50 × 64,966.50
4. Step 4: Simplify right side
   27,636.75x = 4,220,646,122.25
5. Step 5: Solve for x
   x = 4,220,646,122.25/27,636.75
6. Step 6: Final answer
   x = 152,718.61