Finding the Third Proportional to 29,677 and 70,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,677 : 70,055.50 = 70,055.50 : x
2. Step 2: Convert to fraction form
   29,677/70,055.50 = 70,055.50/x
3. Step 3: Cross multiply
   29,677x = 70,055.50 × 70,055.50
4. Step 4: Simplify right side
   29,677x = 4,907,773,080.25
5. Step 5: Solve for x
   x = 4,907,773,080.25/29,677
6. Step 6: Final answer
   x = 165,372.95