Finding the Third Proportional to 32,974.88 and 77,762.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974.88 : 77,762.63 = 77,762.63 : x
2. Step 2: Convert to fraction form
   32,974.88/77,762.63 = 77,762.63/x
3. Step 3: Cross multiply
   32,974.88x = 77,762.63 × 77,762.63
4. Step 4: Simplify right side
   32,974.88x = 6,047,025,846.89
5. Step 5: Solve for x
   x = 6,047,025,846.89/32,974.88
6. Step 6: Final answer
   x = 183,382.83