Finding the Third Proportional to 52,564.50 and 83,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,564.50 : 83,680.50 = 83,680.50 : x
2. Step 2: Convert to fraction form
   52,564.50/83,680.50 = 83,680.50/x
3. Step 3: Cross multiply
   52,564.50x = 83,680.50 × 83,680.50
4. Step 4: Simplify right side
   52,564.50x = 7,002,426,080.25
5. Step 5: Solve for x
   x = 7,002,426,080.25/52,564.50
6. Step 6: Final answer
   x = 133,215.88