Finding the Third Proportional to 35,718 and 77,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,718 : 77,587.50 = 77,587.50 : x
2. Step 2: Convert to fraction form
   35,718/77,587.50 = 77,587.50/x
3. Step 3: Cross multiply
   35,718x = 77,587.50 × 77,587.50
4. Step 4: Simplify right side
   35,718x = 6,019,820,156.25
5. Step 5: Solve for x
   x = 6,019,820,156.25/35,718
6. Step 6: Final answer
   x = 168,537.44