Finding the Third Proportional to 38,334 and 58,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,334 : 58,192.50 = 58,192.50 : x
2. Step 2: Convert to fraction form
   38,334/58,192.50 = 58,192.50/x
3. Step 3: Cross multiply
   38,334x = 58,192.50 × 58,192.50
4. Step 4: Simplify right side
   38,334x = 3,386,367,056.25
5. Step 5: Solve for x
   x = 3,386,367,056.25/38,334
6. Step 6: Final answer
   x = 88,338.47