Finding the Third Proportional to 36,122.63 and 78,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,122.63 : 78,502.50 = 78,502.50 : x
2. Step 2: Convert to fraction form
   36,122.63/78,502.50 = 78,502.50/x
3. Step 3: Cross multiply
   36,122.63x = 78,502.50 × 78,502.50
4. Step 4: Simplify right side
   36,122.63x = 6,162,642,506.25
5. Step 5: Solve for x
   x = 6,162,642,506.25/36,122.63
6. Step 6: Final answer
   x = 170,603.40