Finding the Third Proportional to 32,773.50 and 77,037.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,773.50 : 77,037.75 = 77,037.75 : x
2. Step 2: Convert to fraction form
   32,773.50/77,037.75 = 77,037.75/x
3. Step 3: Cross multiply
   32,773.50x = 77,037.75 × 77,037.75
4. Step 4: Simplify right side
   32,773.50x = 5,934,814,925.06
5. Step 5: Solve for x
   x = 5,934,814,925.06/32,773.50
6. Step 6: Final answer
   x = 181,085.78