Finding the Third Proportional to 36,697.50 and 77,335.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36,697.50 : 77,335.88 = 77,335.88 : x
2. Step 2: Convert to fraction form
   36,697.50/77,335.88 = 77,335.88/x
3. Step 3: Cross multiply
   36,697.50x = 77,335.88 × 77,335.88
4. Step 4: Simplify right side
   36,697.50x = 5,980,837,562.02
5. Step 5: Solve for x
   x = 5,980,837,562.02/36,697.50
6. Step 6: Final answer
   x = 162,976.70