Finding the Third Proportional to 42,677 and 61,473.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,677 : 61,473.50 = 61,473.50 : x
2. Step 2: Convert to fraction form
   42,677/61,473.50 = 61,473.50/x
3. Step 3: Cross multiply
   42,677x = 61,473.50 × 61,473.50
4. Step 4: Simplify right side
   42,677x = 3,778,991,202.25
5. Step 5: Solve for x
   x = 3,778,991,202.25/42,677
6. Step 6: Final answer
   x = 88,548.66