Finding the Third Proportional to 24,092 and 37,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,092 : 37,077.50 = 37,077.50 : x
2. Step 2: Convert to fraction form
   24,092/37,077.50 = 37,077.50/x
3. Step 3: Cross multiply
   24,092x = 37,077.50 × 37,077.50
4. Step 4: Simplify right side
   24,092x = 1,374,741,006.25
5. Step 5: Solve for x
   x = 1,374,741,006.25/24,092
6. Step 6: Final answer
   x = 57,062.14