Finding the Third Proportional to 38,169 and 52,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,169 : 52,741.50 = 52,741.50 : x
2. Step 2: Convert to fraction form
   38,169/52,741.50 = 52,741.50/x
3. Step 3: Cross multiply
   38,169x = 52,741.50 × 52,741.50
4. Step 4: Simplify right side
   38,169x = 2,781,665,822.25
5. Step 5: Solve for x
   x = 2,781,665,822.25/38,169
6. Step 6: Final answer
   x = 72,877.62