Finding the Third Proportional to 35,416.13 and 77,063.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,416.13 : 77,063.06 = 77,063.06 : x
2. Step 2: Convert to fraction form
   35,416.13/77,063.06 = 77,063.06/x
3. Step 3: Cross multiply
   35,416.13x = 77,063.06 × 77,063.06
4. Step 4: Simplify right side
   35,416.13x = 5,938,715,601.88
5. Step 5: Solve for x
   x = 5,938,715,601.88/35,416.13
6. Step 6: Final answer
   x = 167,683.95