Finding the Third Proportional to 35,718.75 and 78,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,718.75 : 78,487.50 = 78,487.50 : x
2. Step 2: Convert to fraction form
   35,718.75/78,487.50 = 78,487.50/x
3. Step 3: Cross multiply
   35,718.75x = 78,487.50 × 78,487.50
4. Step 4: Simplify right side
   35,718.75x = 6,160,287,656.25
5. Step 5: Solve for x
   x = 6,160,287,656.25/35,718.75
6. Step 6: Final answer
   x = 172,466.50