Finding the Third Proportional to 32,977.13 and 77,815.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32,977.13 : 77,815.69 = 77,815.69 : x
2. Step 2: Convert to fraction form
   32,977.13/77,815.69 = 77,815.69/x
3. Step 3: Cross multiply
   32,977.13x = 77,815.69 × 77,815.69
4. Step 4: Simplify right side
   32,977.13x = 6,055,281,221.10
5. Step 5: Solve for x
   x = 6,055,281,221.10/32,977.13
6. Step 6: Final answer
   x = 183,620.65