Finding the Third Proportional to 48,042 and 77,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,042 : 77,191.50 = 77,191.50 : x
2. Step 2: Convert to fraction form
   48,042/77,191.50 = 77,191.50/x
3. Step 3: Cross multiply
   48,042x = 77,191.50 × 77,191.50
4. Step 4: Simplify right side
   48,042x = 5,958,527,672.25
5. Step 5: Solve for x
   x = 5,958,527,672.25/48,042
6. Step 6: Final answer
   x = 124,027.47