Finding the Third Proportional to 35,485.75 and 77,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,485.75 : 77,502.50 = 77,502.50 : x
2. Step 2: Convert to fraction form
   35,485.75/77,502.50 = 77,502.50/x
3. Step 3: Cross multiply
   35,485.75x = 77,502.50 × 77,502.50
4. Step 4: Simplify right side
   35,485.75x = 6,006,637,506.25
5. Step 5: Solve for x
   x = 6,006,637,506.25/35,485.75
6. Step 6: Final answer
   x = 169,269.00