Finding the Third Proportional to 36,697.50 and 52,980.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,697.50 : 52,980.75 = 52,980.75 : x
2. Step 2: Convert to fraction form
   36,697.50/52,980.75 = 52,980.75/x
3. Step 3: Cross multiply
   36,697.50x = 52,980.75 × 52,980.75
4. Step 4: Simplify right side
   36,697.50x = 2,806,959,870.56
5. Step 5: Solve for x
   x = 2,806,959,870.56/36,697.50
6. Step 6: Final answer
   x = 76,489.13