Finding the Third Proportional to 35,708.06 and 78,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,708.06 : 78,421.50 = 78,421.50 : x
2. Step 2: Convert to fraction form
   35,708.06/78,421.50 = 78,421.50/x
3. Step 3: Cross multiply
   35,708.06x = 78,421.50 × 78,421.50
4. Step 4: Simplify right side
   35,708.06x = 6,149,931,662.25
5. Step 5: Solve for x
   x = 6,149,931,662.25/35,708.06
6. Step 6: Final answer
   x = 172,228.10