Finding the Third Proportional to 45,376 and 59,316

Step by Step Solution

1. Step 1: Write the proportion equation
   45,376 : 59,316 = 59,316 : x
2. Step 2: Convert to fraction form
   45,376/59,316 = 59,316/x
3. Step 3: Cross multiply
   45,376x = 59,316 × 59,316
4. Step 4: Simplify right side
   45,376x = 3,518,387,856
5. Step 5: Solve for x
   x = 3,518,387,856/45,376
6. Step 6: Final answer
   x = 77,538.52